[go: up one dir, main page]

Search a number
-
+
2150671872 = 29331347
BaseRepresentation
bin1000000000110000…
…1010011000000000
312112212212110011210
42000030022120000
513401032444442
6553224210120
7104203260246
oct20014123000
95485773153
102150671872
11a03aa8678
12500309940
1328375000b
141658ba796
15c8c2619c
hex8030a600

2150671872 has 160 divisors (see below), whose sum is σ = 6046470144. Its totient is φ = 679004160.

The previous prime is 2150671867. The next prime is 2150671877. The reversal of 2150671872 is 2781760512.

It is an interprime number because it is at equal distance from previous prime (2150671867) and next prime (2150671877).

It is a self number, because there is not a number n which added to its sum of digits gives 2150671872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150671877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45758953 + ... + 45758999.

Almost surely, 22150671872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023235072).

2150671872 is an abundant number, since it is smaller than the sum of its proper divisors (3895798272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2150671872 is an frugal number, since it uses more digits than its factorization.

2150671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 2150671872 is about 46375.3368936550. The cubic root of 2150671872 is about 1290.7973101218.

The spelling of 2150671872 in words is "two billion, one hundred fifty million, six hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 256 282 372 376 384 496 512 564 744 752 768 961 992 1128 1457 1488 1504 1536 1922 1984 2256 2883 2914 2976 3008 3844 3968 4371 4512 5766 5828 5952 6016 7688 7936 8742 9024 11532 11656 11904 12032 15376 15872 17484 18048 23064 23312 23808 24064 29791 30752 34968 36096 45167 46128 46624 47616 59582 61504 69936 72192 89373 90334 92256 93248 119164 123008 135501 139872 178746 180668 184512 186496 238328 246016 271002 279744 357492 361336 369024 372992 476656 492032 542004 559488 714984 722672 738048 745984 953312 1084008 1118976 1400177 1429968 1445344 1476096 1906624 2168016 2237952 2800354 2859936 2890688 3813248 4200531 4336032 5600708 5719872 5781376 7626496 8401062 8672064 11201416 11439744 11562752 15252992 16802124 17344128 22402832 22879488 23125504 33604248 34688256 44805664 45758976 67208496 69376512 89611328 134416992 179222656 268833984 358445312 537667968 716890624 1075335936 2150671872