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151656340 = 225113137601
BaseRepresentation
bin10010000101000…
…01011110010100
3101120100221101111
421002201132110
5302311000330
623014304404
73521025523
oct1102413624
9346327344
10151656340
1178673720
1242958104
132555baa4
14161da4ba
15d4aa32a
hex90a1794

151656340 has 96 divisors (see below), whose sum is σ = 368944128. Its totient is φ = 51840000.

The previous prime is 151656331. The next prime is 151656353. The reversal of 151656340 is 43656151.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 31 ways as a sum of consecutive naturals, for example, 252040 + ... + 252640.

It is an arithmetic number, because the mean of its divisors is an integer number (3843168).

Almost surely, 2151656340 is an apocalyptic number.

151656340 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 151656340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184472064).

151656340 is an abundant number, since it is smaller than the sum of its proper divisors (217287788).

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

151656340 is a wasteful number, since it uses less digits than its factorization.

151656340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 151656340 is about 12314.8828658660. The cubic root of 151656340 is about 533.2778232157.

The spelling of 151656340 in words is "one hundred fifty-one million, six hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 37 44 55 62 74 110 124 148 155 185 220 310 341 370 407 601 620 682 740 814 1147 1202 1364 1628 1705 2035 2294 2404 3005 3410 4070 4588 5735 6010 6611 6820 8140 11470 12020 12617 13222 18631 22237 22940 25234 26444 33055 37262 44474 50468 63085 66110 74524 88948 93155 111185 126170 132220 186310 204941 222370 244607 252340 372620 409882 444740 489214 689347 819764 978428 1024705 1223035 1378694 2049410 2446070 2757388 3446735 4098820 4892140 6893470 7582817 13786940 15165634 30331268 37914085 75828170 151656340