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87157400 = 235211173229
BaseRepresentation
bin1010011000111…
…10101010011000
320002000001110212
411030132222120
5134303014100
612352030252
72105553131
oct514365230
9202001425
1087157400
114521a710
1225232388
1315098135
14b80ac88
1579b9635
hex531ea98

87157400 has 96 divisors (see below), whose sum is σ = 223311600. Its totient is φ = 31372800.

The previous prime is 87157379. The next prime is 87157429. The reversal of 87157400 is 475178.

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, 380486 + ... + 380714.

Almost surely, 287157400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87157400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111655800).

87157400 is an abundant number, since it is smaller than the sum of its proper divisors (136154200).

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

87157400 is a wasteful number, since it uses less digits than its factorization.

87157400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 87157400 is about 9335.8127659031. The cubic root of 87157400 is about 443.3718222123.

The spelling of 87157400 in words is "eighty-seven million, one hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 173 200 220 229 275 346 440 458 550 692 865 916 1100 1145 1384 1730 1832 1903 2200 2290 2519 3460 3806 4325 4580 5038 5725 6920 7612 8650 9160 9515 10076 11450 12595 15224 17300 19030 20152 22900 25190 34600 38060 39617 45800 47575 50380 62975 76120 79234 95150 100760 125950 158468 190300 198085 251900 316936 380600 396170 435787 503800 792340 871574 990425 1584680 1743148 1980850 2178935 3486296 3961700 4357870 7923400 8715740 10894675 17431480 21789350 43578700 87157400