[go: up one dir, main page]

Search a number
-
+
157251840 = 2835311321
BaseRepresentation
bin10010101111101…
…11100100000000
3101221220012222020
421113313210000
5310224024330
623334241440
73616422114
oct1127674400
9357805866
10157251840
11808456a9
12447b6280
132676a935
1416c55744
15dc13210
hex95f7900

157251840 has 144 divisors (see below), whose sum is σ = 518816256. Its totient is φ = 40550400.

The previous prime is 157251827. The next prime is 157251859. The reversal of 157251840 is 48152751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118380 + ... + 119700.

Almost surely, 2157251840 is an apocalyptic number.

157251840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259408128).

157251840 is an abundant number, since it is smaller than the sum of its proper divisors (361564416).

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

157251840 is a wasteful number, since it uses less digits than its factorization.

157251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 157251840 is about 12540.0095693743. The cubic root of 157251840 is about 539.7573669909.

The spelling of 157251840 in words is "one hundred fifty-seven million, two hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1321 1488 1860 1920 1984 2480 2642 2976 3720 3840 3963 3968 4960 5284 5952 6605 7440 7926 7936 9920 10568 11904 13210 14880 15852 19815 19840 21136 23808 26420 29760 31704 39630 39680 40951 42272 52840 59520 63408 79260 81902 84544 105680 119040 122853 126816 158520 163804 169088 204755 211360 245706 253632 317040 327608 338176 409510 422720 491412 507264 614265 634080 655216 819020 845440 982824 1014528 1228530 1268160 1310432 1638040 1690880 1965648 2457060 2536320 2620864 3276080 3931296 4914120 5072640 5241728 6552160 7862592 9828240 10483456 13104320 15725184 19656480 26208640 31450368 39312960 52417280 78625920 157251840