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157070000 = 2454113139
BaseRepresentation
bin10010101110010…
…11001010110000
3101221112222112102
421113023022300
5310202220000
623330315532
73615034013
oct1127131260
9357488472
10157070000
118073101a
1244728ba8
1326705c39
1416c0937a
15dbc93d5
hex95cb2b0

157070000 has 100 divisors (see below), whose sum is σ = 386407560. Its totient is φ = 61824000.

The previous prime is 157069993. The next prime is 157070033. The reversal of 157070000 is 70751.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 1129931 + ... + 1130069.

Almost surely, 2157070000 is an apocalyptic number.

157070000 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 157070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193203780).

157070000 is an abundant number, since it is smaller than the sum of its proper divisors (229337560).

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

157070000 is a wasteful number, since it uses less digits than its factorization.

157070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 157070000 is about 12532.7570789511. The cubic root of 157070000 is about 539.5492351686.

The spelling of 157070000 in words is "one hundred fifty-seven million, seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 139 200 226 250 278 400 452 500 556 565 625 695 904 1000 1112 1130 1250 1390 1808 2000 2224 2260 2500 2780 2825 3475 4520 5000 5560 5650 6950 9040 10000 11120 11300 13900 14125 15707 17375 22600 27800 28250 31414 34750 45200 55600 56500 62828 69500 70625 78535 86875 113000 125656 139000 141250 157070 173750 226000 251312 278000 282500 314140 347500 392675 565000 628280 695000 785350 1130000 1256560 1390000 1570700 1963375 3141400 3926750 6282800 7853500 9816875 15707000 19633750 31414000 39267500 78535000 157070000