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89996100 = 22352319677
BaseRepresentation
bin1010101110100…
…11101101000100
320021100021102220
411113103231010
5141014333400
612532532340
72141645205
oct527235504
9207307386
1089996100
1146889447
12261810b0
131585023c
14bd495ac
157d7a7a0
hex55d3b44

89996100 has 72 divisors (see below), whose sum is σ = 268816128. Its totient is φ = 23222400.

The previous prime is 89996059. The next prime is 89996111. The reversal of 89996100 is 169998.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4462 + ... + 14138.

Almost surely, 289996100 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 89996100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134408064).

89996100 is an abundant number, since it is smaller than the sum of its proper divisors (178820028).

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

89996100 is a wasteful number, since it uses less digits than its factorization.

89996100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 89996100 is about 9486.6274302304. The cubic root of 89996100 is about 448.1340014220.

The spelling of 89996100 in words is "eighty-nine million, nine hundred ninety-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 9677 19354 29031 38708 48385 58062 96770 116124 145155 193540 241925 290310 299987 483850 580620 599974 725775 899961 967700 1199948 1451550 1499935 1799922 2903100 2999870 3599844 4499805 5999740 7499675 8999610 14999350 17999220 22499025 29998700 44998050 89996100