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88140384 = 2532463661
BaseRepresentation
bin1010100000011…
…10101001100000
320010211222212200
411100032221200
5140030443014
612425053200
72120116023
oct520165140
9203758780
1088140384
11458311a2
1225627200
1315350697
14b9c51ba
157b10a09
hex540ea60

88140384 has 72 divisors (see below), whose sum is σ = 251570592. Its totient is φ = 29272320.

The previous prime is 88140383. The next prime is 88140491. The reversal of 88140384 is 48304188.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88140383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133014 + ... + 133674.

It is an arithmetic number, because the mean of its divisors is an integer number (3494036).

Almost surely, 288140384 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 88140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125785296).

88140384 is an abundant number, since it is smaller than the sum of its proper divisors (163430208).

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

88140384 is a wasteful number, since it uses less digits than its factorization.

88140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88140384 is about 9388.3110302120. The cubic root of 88140384 is about 445.0324161043.

The spelling of 88140384 in words is "eighty-eight million, one hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 463 661 926 1322 1389 1852 1983 2644 2778 3704 3966 4167 5288 5556 5949 7408 7932 8334 10576 11112 11898 14816 15864 16668 21152 22224 23796 31728 33336 44448 47592 63456 66672 95184 133344 190368 306043 612086 918129 1224172 1836258 2448344 2754387 3672516 4896688 5508774 7345032 9793376 11017548 14690064 22035096 29380128 44070192 88140384