[go: up one dir, main page]

Search a number
-
+
46121130 = 23351153293
BaseRepresentation
bin1010111111110…
…0000010101010
310012210012022000
42233330002222
543301334010
64324311430
71100010636
oct257740252
9105705260
1046121130
1124041540
1213542576
13972aa13
1461a7dc6
1540b07c0
hex2bfc0aa

46121130 has 128 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 10932480.

The previous prime is 46121123. The next prime is 46121137. The reversal of 46121130 is 3112164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46121123) and next prime (46121137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (46121137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157264 + ... + 157556.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 246121130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

46121130 is an abundant number, since it is smaller than the sum of its proper divisors (91047510).

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

46121130 is a wasteful number, since it uses less digits than its factorization.

46121130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 46121130 is about 6791.2539342893. The cubic root of 46121130 is about 358.6190147734.

Adding to 46121130 its reverse (3112164), we get a palindrome (49233294).

The spelling of 46121130 in words is "forty-six million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 53 54 55 66 90 99 106 110 135 159 165 198 265 270 293 297 318 330 477 495 530 583 586 594 795 879 954 990 1166 1431 1465 1485 1590 1749 1758 2385 2637 2862 2915 2930 2970 3223 3498 4395 4770 5247 5274 5830 6446 7155 7911 8745 8790 9669 10494 13185 14310 15529 15741 15822 16115 17490 19338 26235 26370 29007 31058 31482 32230 39555 46587 48345 52470 58014 77645 78705 79110 87021 93174 96690 139761 145035 155290 157410 170819 174042 232935 279522 290070 341638 419283 435105 465870 512457 698805 838566 854095 870210 1024914 1397610 1537371 1708190 2096415 2562285 3074742 4192830 4612113 5124570 7686855 9224226 15373710 23060565 46121130