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157423600 = 24522941331
BaseRepresentation
bin10010110001000…
…01011111110000
3101222012221120201
421120201133300
5310300023400
623342044544
73621035635
oct1130413760
9358187521
10157423600
1180952754
1244879754
13267cab79
1416c9c18c
15dc4906a
hex96217f0

157423600 has 120 divisors (see below), whose sum is σ = 402005520. Its totient is φ = 59136000.

The previous prime is 157423597. The next prime is 157423613. The reversal of 157423600 is 6324751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475435 + ... + 475765.

It is an arithmetic number, because the mean of its divisors is an integer number (3350046).

Almost surely, 2157423600 is an apocalyptic number.

157423600 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 157423600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201002760).

157423600 is an abundant number, since it is smaller than the sum of its proper divisors (244581920).

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

157423600 is a wasteful number, since it uses less digits than its factorization.

157423600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 157423600 is about 12546.8561799361. The cubic root of 157423600 is about 539.9538140654.

The spelling of 157423600 in words is "one hundred fifty-seven million, four hundred twenty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 41 50 58 80 82 100 116 145 164 200 205 232 290 328 331 400 410 464 580 656 662 725 820 1025 1160 1189 1324 1450 1640 1655 2050 2320 2378 2648 2900 3280 3310 4100 4756 5296 5800 5945 6620 8200 8275 9512 9599 11600 11890 13240 13571 16400 16550 19024 19198 23780 26480 27142 29725 33100 38396 47560 47995 54284 59450 66200 67855 76792 95120 95990 108568 118900 132400 135710 153584 191980 217136 237800 239975 271420 339275 383960 393559 475600 479950 542840 678550 767920 787118 959900 1085680 1357100 1574236 1919800 1967795 2714200 3148472 3839600 3935590 5428400 6296944 7871180 9838975 15742360 19677950 31484720 39355900 78711800 157423600