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99975040 = 2751121291
BaseRepresentation
bin1011111010101…
…11111110000000
320222010020222021
411331113332000
5201043200130
613530451224
72322526264
oct575277600
9228106867
1099975040
1151484800
1229593b14
1317935339
14d3c60a4
158b9c37a
hex5f57f80

99975040 has 96 divisors (see below), whose sum is σ = 262909080. Its totient is φ = 36326400.

The previous prime is 99975019. The next prime is 99975041. The reversal of 99975040 is 4057999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99975041) 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, 76795 + ... + 78085.

Almost surely, 299975040 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 99975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131454540).

99975040 is an abundant number, since it is smaller than the sum of its proper divisors (162934040).

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

99975040 is a wasteful number, since it uses less digits than its factorization.

99975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 99975040 is about 9998.7519221151. The cubic root of 99975040 is about 464.1202621287.

The spelling of 99975040 in words is "ninety-nine million, nine hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1291 1408 1760 1936 2420 2582 3520 3872 4840 5164 6455 7040 7744 9680 10328 12910 14201 15488 19360 20656 25820 28402 38720 41312 51640 56804 71005 77440 82624 103280 113608 142010 156211 165248 206560 227216 284020 312422 413120 454432 568040 624844 781055 826240 908864 1136080 1249688 1562110 1817728 2272160 2499376 3124220 4544320 4998752 6248440 9088640 9997504 12496880 19995008 24993760 49987520 99975040