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96138210 = 23573712373
BaseRepresentation
bin1011011101011…
…11001111100010
320200220022211110
411232233033202
5144102410320
613312324150
72245106220
oct556571742
9220808743
1096138210
114a2a4073
1228243656
1316bc0b1c
14caa7b10
1586905e0
hex5baf3e2

96138210 has 64 divisors (see below), whose sum is σ = 270842112. Its totient is φ = 21378816.

The previous prime is 96138193. The next prime is 96138221. The reversal of 96138210 is 1283169.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584 + ... + 13956.

It is an arithmetic number, because the mean of its divisors is an integer number (4231908).

Almost surely, 296138210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96138210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135421056).

96138210 is an abundant number, since it is smaller than the sum of its proper divisors (174703902).

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

96138210 is a wasteful number, since it uses less digits than its factorization.

96138210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12427.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 96138210 is about 9805.0094339577. The cubic root of 96138210 is about 458.1053290927.

The spelling of 96138210 in words is "ninety-six million, one hundred thirty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 7770 12373 24746 37119 61865 74238 86611 123730 173222 185595 259833 371190 433055 457801 519666 866110 915602 1299165 1373403 2289005 2598330 2746806 3204607 4578010 6409214 6867015 9613821 13734030 16023035 19227642 32046070 48069105 96138210