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157355100 = 223252724977
BaseRepresentation
bin10010110000100…
…00110001011100
3101222002110121200
421120100301130
5310240330400
623340355500
73620332140
oct1130206134
9358073550
10157355100
1180906241
1244845b90
13267a5936
1416c81220
15dc33b00
hex9610c5c

157355100 has 108 divisors (see below), whose sum is σ = 563703504. Its totient is φ = 35965440.

The previous prime is 157355053. The next prime is 157355119. The reversal of 157355100 is 1553751.

157355100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 6189 + ... + 18788.

Almost surely, 2157355100 is an apocalyptic number.

157355100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157355100 is an abundant number, since it is smaller than the sum of its proper divisors (406348404).

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

157355100 is a wasteful number, since it uses less digits than its factorization.

157355100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25004 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 157355100 is about 12544.1261154375. The cubic root of 157355100 is about 539.8754856947.

The spelling of 157355100 in words is "one hundred fifty-seven million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 24977 49954 74931 99908 124885 149862 174839 224793 249770 299724 349678 374655 449586 499540 524517 624425 699356 749310 874195 899172 1049034 1123965 1248850 1498620 1573551 1748390 1873275 2098068 2247930 2497700 2622585 3147102 3496780 3746550 4370975 4495860 5245170 5619825 6294204 7493100 7867755 8741950 10490340 11239650 13112925 15735510 17483900 22479300 26225850 31471020 39338775 52451700 78677550 157355100