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88721920 = 29574951
BaseRepresentation
bin1010100100111…
…00101000000000
320011221112121001
411102130220000
5140203100140
612445341344
72125060330
oct522345000
9204845531
1088721920
1146099101
1225867854
13154c52a1
14bad70c0
157bc7e9a
hex549ca00

88721920 has 80 divisors (see below), whose sum is σ = 243163008. Its totient is φ = 30412800.

The previous prime is 88721917. The next prime is 88721921. The reversal of 88721920 is 2912788.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 88721920.

It is not an unprimeable number, because it can be changed into a prime (88721921) 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, 15445 + ... + 20395.

Almost surely, 288721920 is an apocalyptic number.

88721920 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 88721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121581504).

88721920 is an abundant number, since it is smaller than the sum of its proper divisors (154441088).

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

88721920 is an equidigital number, since it uses as much as digits as its factorization.

88721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 88721920 is about 9419.2313911486. The cubic root of 88721920 is about 446.0090220513.

The spelling of 88721920 in words is "eighty-eight million, seven hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 4951 8960 9902 17920 19804 24755 34657 39608 49510 69314 79216 99020 138628 158432 173285 198040 277256 316864 346570 396080 554512 633728 693140 792160 1109024 1267456 1386280 1584320 2218048 2534912 2772560 3168640 4436096 5545120 6337280 8872192 11090240 12674560 17744384 22180480 44360960 88721920