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10099152 = 2432743233
BaseRepresentation
bin100110100001…
…100111010000
3201000002102200
4212201213100
510041133102
61000243200
7151561410
oct46414720
921002380
1010099152
115778708
123470500
132127a3b
1414ac640
15d4751c
hex9a19d0

10099152 has 120 divisors (see below), whose sum is σ = 33194304. Its totient is φ = 2806272.

The previous prime is 10099151. The next prime is 10099153. The reversal of 10099152 is 25199001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10099151) and next prime (10099153).

It is a super-2 number, since 2×100991522 = 203985742238208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43228 + ... + 43460.

Almost surely, 210099152 is an apocalyptic number.

10099152 is a gapful number since it is divisible by the number (12) 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 10099152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597152).

10099152 is an abundant number, since it is smaller than the sum of its proper divisors (23095152).

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

10099152 is a wasteful number, since it uses less digits than its factorization.

10099152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10099152 is about 3177.9162984572. The cubic root of 10099152 is about 216.1531835202.

The spelling of 10099152 in words is "ten million, ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 233 252 258 301 336 344 387 466 504 516 602 688 699 774 903 932 1008 1032 1204 1398 1548 1631 1806 1864 2064 2097 2408 2709 2796 3096 3262 3612 3728 4194 4816 4893 5418 5592 6192 6524 7224 8388 9786 10019 10836 11184 13048 14448 14679 16776 19572 20038 21672 26096 29358 30057 33552 39144 40076 43344 58716 60114 70133 78288 80152 90171 117432 120228 140266 160304 180342 210399 234864 240456 280532 360684 420798 480912 561064 631197 721368 841596 1122128 1262394 1442736 1683192 2524788 3366384 5049576 10099152