Search a number
-
+
157306212 = 22347431613
BaseRepresentation
bin10010110000001…
…00110101100100
3101221222222120000
421120010311210
5310232244322
623335341300
73620036460
oct1130046544
9357888500
10157306212
1180882538
1244821830
13267895cb
1416c6b4a0
15dc243ac
hex9604d64

157306212 has 120 divisors (see below), whose sum is σ = 481204416. Its totient is φ = 43872192.

The previous prime is 157306211. The next prime is 157306231. The reversal of 157306212 is 212603751.

It is a happy number.

157306212 is a `hidden beast` number, since 1 + 5 + 7 + 30 + 621 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157306211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96718 + ... + 98330.

Almost surely, 2157306212 is an apocalyptic number.

157306212 is a gapful number since it is divisible by the number (12) 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 157306212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240602208).

157306212 is an abundant number, since it is smaller than the sum of its proper divisors (323898204).

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

157306212 is a wasteful number, since it uses less digits than its factorization.

157306212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 157306212 is about 12542.1773229372. The cubic root of 157306212 is about 539.8195693489.

Adding to 157306212 its reverse (212603751), we get a palindrome (369909963).

The spelling of 157306212 in words is "one hundred fifty-seven million, three hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 252 258 301 324 378 387 516 567 602 756 774 903 1134 1161 1204 1548 1613 1806 2268 2322 2709 3226 3483 3612 4644 4839 5418 6452 6966 8127 9678 10836 11291 13932 14517 16254 19356 22582 24381 29034 32508 33873 43551 45164 48762 58068 67746 69359 87102 97524 101619 130653 135492 138718 174204 203238 208077 261306 277436 304857 406476 416154 485513 522612 609714 624231 832308 914571 971026 1219428 1248462 1456539 1829142 1872693 1942052 2496924 2913078 3658284 3745386 4369617 5618079 5826156 7490772 8739234 11236158 13108851 17478468 22472316 26217702 39326553 52435404 78653106 157306212