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151630424 = 23112312163
BaseRepresentation
bin10010000100110…
…11001001011000
3101120022121211122
421002123021120
5302304133144
623013544412
73520560131
oct1102331130
9346277748
10151630424
1178656200
1242945108
132555005a
14161d0c88
15d4a27ee
hex909b258

151630424 has 72 divisors (see below), whose sum is σ = 324889740. Its totient is φ = 66290400.

The previous prime is 151630373. The next prime is 151630433. The reversal of 151630424 is 424036151.

It is a junction number, because it is equal to n+sod(n) for n = 151630393 and 151630402.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 930167 + ... + 930329.

Almost surely, 2151630424 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 151630424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162444870).

151630424 is an abundant number, since it is smaller than the sum of its proper divisors (173259316).

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

151630424 is a wasteful number, since it uses less digits than its factorization.

151630424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 151630424 is about 12313.8305981526. The cubic root of 151630424 is about 533.2474448497.

Adding to 151630424 its reverse (424036151), we get a palindrome (575666575).

The spelling of 151630424 in words is "one hundred fifty-one million, six hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 163 242 248 326 341 484 652 682 961 968 1304 1364 1793 1922 2728 3586 3751 3844 5053 7172 7502 7688 10106 10571 14344 15004 19723 20212 21142 30008 39446 40424 42284 55583 78892 84568 111166 116281 156643 157784 222332 232562 313286 444664 465124 611413 626572 930248 1222826 1253144 1723073 2445652 3446146 4891304 6892292 13784584 18953803 37907606 75815212 151630424