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157532640 = 25352911317
BaseRepresentation
bin10010110001111…
…00000111100000
3101222102111011020
421120330013200
5310312021030
623344245440
73622001556
oct1130740740
9358374136
10157532640
1180a17671
1244910880
13268386a5
1416cc9bd6
15dc6b510
hex963c1e0

157532640 has 96 divisors (see below), whose sum is σ = 513384480. Its totient is φ = 40556544.

The previous prime is 157532633. The next prime is 157532651. The reversal of 157532640 is 46235751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8262 + ... + 19578.

It is an arithmetic number, because the mean of its divisors is an integer number (5347755).

Almost surely, 2157532640 is an apocalyptic number.

157532640 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 157532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256692240).

157532640 is an abundant number, since it is smaller than the sum of its proper divisors (355851840).

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

157532640 is a wasteful number, since it uses less digits than its factorization.

157532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 157532640 is about 12551.2007393715. The cubic root of 157532640 is about 540.0784522506.

The spelling of 157532640 in words is "one hundred fifty-seven million, five hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 11317 13920 22634 33951 45268 56585 67902 90536 113170 135804 169755 181072 226340 271608 328193 339510 362144 452680 543216 656386 679020 905360 984579 1086432 1312772 1358040 1640965 1810720 1969158 2625544 2716080 3281930 3938316 4922895 5251088 5432160 6563860 7876632 9845790 10502176 13127720 15753264 19691580 26255440 31506528 39383160 52510880 78766320 157532640