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157412700 = 223352173337
BaseRepresentation
bin10010110000111…
…10110101011100
3101222012101122000
421120132311130
5310244201300
623341522300
73620662104
oct1130366534
9358171560
10157412700
1180945545
1244873390
13267c5c13
1416c98204
15dc45c00
hex961ed5c

157412700 has 144 divisors (see below), whose sum is σ = 510488160. Its totient is φ = 41610240.

The previous prime is 157412693. The next prime is 157412791. The reversal of 157412700 is 7214751.

157412700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466932 + ... + 467268.

Almost surely, 2157412700 is an apocalyptic number.

157412700 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 157412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255244080).

157412700 is an abundant number, since it is smaller than the sum of its proper divisors (353075460).

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

157412700 is a wasteful number, since it uses less digits than its factorization.

157412700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 157412700 is about 12546.4218006570. The cubic root of 157412700 is about 539.9413516552.

The spelling of 157412700 in words is "one hundred fifty-seven million, four hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 173 180 225 270 300 337 346 450 519 540 674 675 692 865 900 1011 1038 1348 1350 1557 1685 1730 2022 2076 2595 2700 3033 3114 3370 3460 4044 4325 4671 5055 5190 6066 6228 6740 7785 8425 8650 9099 9342 10110 10380 12132 12975 15165 15570 16850 17300 18198 18684 20220 23355 25275 25950 30330 31140 33700 36396 38925 45495 46710 50550 51900 58301 60660 75825 77850 90990 93420 101100 116602 116775 151650 155700 174903 181980 227475 233204 233550 291505 303300 349806 454950 467100 524709 583010 699612 874515 909900 1049418 1166020 1457525 1574127 1749030 2098836 2623545 2915050 3148254 3498060 4372575 5247090 5830100 6296508 7870635 8745150 10494180 13117725 15741270 17490300 26235450 31482540 39353175 52470900 78706350 157412700