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157127880 = 233571314389
BaseRepresentation
bin10010101110110…
…01010011001000
3101221122220221010
421113121103020
5310211043010
623331443520
73615364530
oct1127312310
9357586833
10157127880
1180770558
12447565a0
13267263a0
1416c224c0
15dbdb620
hex95d94c8

157127880 has 128 divisors (see below), whose sum is σ = 580204800. Its totient is φ = 33149952.

The previous prime is 157127879. The next prime is 157127897. The reversal of 157127880 is 88721751.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 3726 + ... + 18114.

It is an arithmetic number, because the mean of its divisors is an integer number (4532850).

Almost surely, 2157127880 is an apocalyptic number.

157127880 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 157127880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290102400).

157127880 is an abundant number, since it is smaller than the sum of its proper divisors (423076920).

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

157127880 is a wasteful number, since it uses less digits than its factorization.

157127880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14423 (or 14419 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 157127880 is about 12535.0660149837. The cubic root of 157127880 is about 539.6155013229.

The spelling of 157127880 in words is "one hundred fifty-seven million, one hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 14389 28778 43167 57556 71945 86334 100723 115112 143890 172668 187057 201446 215835 287780 302169 345336 374114 402892 431670 503615 561171 575560 604338 748228 805784 863340 935285 1007230 1122342 1208676 1309399 1496456 1510845 1726680 1870570 2014460 2244684 2417352 2618798 2805855 3021690 3741140 3928197 4028920 4489368 5237596 5611710 6043380 6546995 7482280 7856394 10475192 11223420 12086760 13093990 15712788 19640985 22446840 26187980 31425576 39281970 52375960 78563940 157127880