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99145632 = 2531779769
BaseRepresentation
bin1011110100011…
…01011110100000
320220120010020110
411322031132200
5200340130012
613501011320
72312503215
oct572153640
9226503213
1099145632
1150a68643
1229253b40
1317704971
14d24bb0c
158a8673c
hex5e8d7a0

99145632 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 30670848.

The previous prime is 99145603. The next prime is 99145639. The reversal of 99145632 is 23654199.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (99145639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128544 + ... + 129312.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 299145632 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 99145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

99145632 is an abundant number, since it is smaller than the sum of its proper divisors (180271968).

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

99145632 is a wasteful number, since it uses less digits than its factorization.

99145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 99145632 is about 9957.1899650454. The cubic root of 99145632 is about 462.8332258419.

The spelling of 99145632 in words is "ninety-nine million, one hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 79 96 102 136 158 204 237 272 316 408 474 544 632 769 816 948 1264 1343 1538 1632 1896 2307 2528 2686 3076 3792 4029 4614 5372 6152 7584 8058 9228 10744 12304 13073 16116 18456 21488 24608 26146 32232 36912 39219 42976 52292 60751 64464 73824 78438 104584 121502 128928 156876 182253 209168 243004 313752 364506 418336 486008 627504 729012 972016 1032767 1255008 1458024 1944032 2065534 2916048 3098301 4131068 5832096 6196602 8262136 12393204 16524272 24786408 33048544 49572816 99145632