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89996240 = 2452359829
BaseRepresentation
bin1010101110100…
…11101111010000
320021100021122002
411113103233100
5141014334430
612532533132
72141645465
oct527235720
9207307562
1089996240
1146889564
12261811a8
1315850319
14bd4966c
157d7a845
hex55d3bd0

89996240 has 80 divisors (see below), whose sum is σ = 222307200. Its totient is φ = 33808896.

The previous prime is 89996227. The next prime is 89996261. The reversal of 89996240 is 4269998.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108146 + ... + 108974.

It is an arithmetic number, because the mean of its divisors is an integer number (2778840).

Almost surely, 289996240 is an apocalyptic number.

89996240 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 89996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111153600).

89996240 is an abundant number, since it is smaller than the sum of its proper divisors (132310960).

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

89996240 is a wasteful number, since it uses less digits than its factorization.

89996240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 89996240 is about 9486.6348090353. The cubic root of 89996240 is about 448.1342337978.

The spelling of 89996240 in words is "eighty-nine million, nine hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 295 368 460 472 590 829 920 944 1180 1357 1658 1840 2360 2714 3316 4145 4720 5428 6632 6785 8290 10856 13264 13570 16580 19067 21712 27140 33160 38134 48911 54280 66320 76268 95335 97822 108560 152536 190670 195644 244555 305072 381340 391288 489110 762680 782576 978220 1124953 1525360 1956440 2249906 3912880 4499812 5624765 8999624 11249530 17999248 22499060 44998120 89996240