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88119680 = 2751112517
BaseRepresentation
bin1010100000010…
…01100110000000
320010210221110212
411100021212000
5140024312210
612424413252
72120001455
oct520114600
9203727425
1088119680
1145817690
1225617228
131534412c
14b9bb82c
157b09805
hex5409980

88119680 has 64 divisors (see below), whose sum is σ = 229830480. Its totient is φ = 32040960.

The previous prime is 88119679. The next prime is 88119683. The reversal of 88119680 is 8691188.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88119683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782 + ... + 13298.

Almost surely, 288119680 is an apocalyptic number.

88119680 is a gapful number since it is divisible by the number (80) 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 88119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114915240).

88119680 is an abundant number, since it is smaller than the sum of its proper divisors (141710800).

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

88119680 is a wasteful number, since it uses less digits than its factorization.

88119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 88119680 is about 9387.2083177055. The cubic root of 88119680 is about 444.9975676339.

The spelling of 88119680 in words is "eighty-eight million, one hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 12517 25034 50068 62585 100136 125170 137687 200272 250340 275374 400544 500680 550748 688435 801088 1001360 1101496 1376870 1602176 2002720 2202992 2753740 4005440 4405984 5507480 8010880 8811968 11014960 17623936 22029920 44059840 88119680