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151197696 = 2113213631
BaseRepresentation
bin10010000001100…
…01100000000000
3101112111122020200
421000301200000
5302201311241
623000405200
73514105416
oct1100614000
9345448220
10151197696
1178390081
1242776800
132542b0c0
141611b2b6
15d4194b6
hex9031800

151197696 has 144 divisors (see below), whose sum is σ = 471023280. Its totient is φ = 46448640.

The previous prime is 151197689. The next prime is 151197703. The reversal of 151197696 is 696791151.

It is an interprime number because it is at equal distance from previous prime (151197689) and next prime (151197703).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239301 + ... + 239931.

It is an arithmetic number, because the mean of its divisors is an integer number (3270995).

Almost surely, 2151197696 is an apocalyptic number.

151197696 is a gapful number since it is divisible by the number (16) 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 151197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235511640).

151197696 is an abundant number, since it is smaller than the sum of its proper divisors (319825584).

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

151197696 is a wasteful number, since it uses less digits than its factorization.

151197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 151197696 is about 12296.2472323876. The cubic root of 151197696 is about 532.7396950387.

The spelling of 151197696 in words is "one hundred fifty-one million, one hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 631 768 832 936 1024 1152 1248 1262 1536 1664 1872 1893 2048 2304 2496 2524 3072 3328 3744 3786 4608 4992 5048 5679 6144 6656 7488 7572 8203 9216 9984 10096 11358 13312 14976 15144 16406 18432 19968 20192 22716 24609 26624 29952 30288 32812 39936 40384 45432 49218 59904 60576 65624 73827 79872 80768 90864 98436 119808 121152 131248 147654 161536 181728 196872 239616 242304 262496 295308 323072 363456 393744 484608 524992 590616 646144 726912 787488 969216 1049984 1181232 1292288 1453824 1574976 1938432 2099968 2362464 2907648 3149952 3876864 4199936 4724928 5815296 6299904 8399872 9449856 11630592 12599808 16799744 18899712 25199616 37799424 50399232 75598848 151197696