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99018936 = 2334413727
BaseRepresentation
bin1011110011011…
…10100010111000
320220022200110000
411321232202320
5200322101221
613454153000
72311434642
oct571564270
9226280400
1099018936
1150991435
12291b2760
131768c0b3
14d217892
158a5de26
hex5e6e8b8

99018936 has 80 divisors (see below), whose sum is σ = 284185440. Its totient is φ = 32192640.

The previous prime is 99018923. The next prime is 99018949. The reversal of 99018936 is 63981099.

It is an interprime number because it is at equal distance from previous prime (99018923) and next prime (99018949).

It is a junction number, because it is equal to n+sod(n) for n = 99018891 and 99018900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24705 + ... + 28431.

It is an arithmetic number, because the mean of its divisors is an integer number (3552318).

Almost surely, 299018936 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 99018936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142092720).

99018936 is an abundant number, since it is smaller than the sum of its proper divisors (185166504).

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

99018936 is a wasteful number, since it uses less digits than its factorization.

99018936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 99018936 is about 9950.8258953717. The cubic root of 99018936 is about 462.6359937070.

The spelling of 99018936 in words is "ninety-nine million, eighteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 3727 4428 6642 7454 8856 11181 13284 14908 22362 26568 29816 33543 44724 67086 89448 100629 134172 152807 201258 268344 301887 305614 402516 458421 603774 611228 805032 916842 1207548 1222456 1375263 1833684 2415096 2750526 3667368 4125789 5501052 8251578 11002104 12377367 16503156 24754734 33006312 49509468 99018936