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151830536 = 2311131737211
BaseRepresentation
bin10010000110011…
…00000000001000
3101120200210100012
421003030000020
5302332034121
623022131052
73522352424
oct1103140010
9346623305
10151830536
1178782590
1242a20a88
13255c0170
1416243b84
15d4e1c5b
hex90cc008

151830536 has 128 divisors (see below), whose sum is σ = 365420160. Its totient is φ = 58060800.

The previous prime is 151830533. The next prime is 151830557. The reversal of 151830536 is 635038151.

It is not an unprimeable number, because it can be changed into a prime (151830533) 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 31 ways as a sum of consecutive naturals, for example, 719471 + ... + 719681.

It is an arithmetic number, because the mean of its divisors is an integer number (2854845).

Almost surely, 2151830536 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 151830536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182710080).

151830536 is an abundant number, since it is smaller than the sum of its proper divisors (213589624).

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

151830536 is a wasteful number, since it uses less digits than its factorization.

151830536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 151830536 is about 12321.9534165651. The cubic root of 151830536 is about 533.4819235285.

Adding to 151830536 its reverse (635038151), we get a palindrome (786868687).

The spelling of 151830536 in words is "one hundred fifty-one million, eight hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 17 22 26 34 37 44 52 68 74 88 104 136 143 148 187 211 221 286 296 374 407 422 442 481 572 629 748 814 844 884 962 1144 1258 1496 1628 1688 1768 1924 2321 2431 2516 2743 3256 3587 3848 4642 4862 5032 5291 5486 6919 7174 7807 8177 9284 9724 10582 10972 13838 14348 15614 16354 18568 19448 21164 21944 27676 28696 30173 31228 32708 39457 42328 46631 55352 60346 62456 65416 78914 85877 89947 93262 101491 120692 132719 157828 171754 179894 186524 202982 241384 265438 315656 343508 359788 373048 405964 512941 530876 687016 719576 811928 1025882 1061752 1116401 1459909 1725347 2051764 2232802 2919818 3450694 4103528 4465604 5839636 6901388 8931208 11679272 13802776 18978817 37957634 75915268 151830536