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99095136 = 2537239617
BaseRepresentation
bin1011110100000…
…01001001100000
320220110112222020
411322001021200
5200332021021
613455541440
72312203050
oct572011140
9226415866
1099095136
1150a33708
122922a880
13176b799a
14d237560
158a767c6
hex5e81260

99095136 has 96 divisors (see below), whose sum is σ = 299013120. Its totient is φ = 28148736.

The previous prime is 99095131. The next prime is 99095153. The reversal of 99095136 is 63159099.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99095131) 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, 160300 + ... + 160916.

It is an arithmetic number, because the mean of its divisors is an integer number (3114720).

Almost surely, 299095136 is an apocalyptic number.

99095136 is a gapful number since it is divisible by the number (96) 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 99095136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506560).

99095136 is an abundant number, since it is smaller than the sum of its proper divisors (199917984).

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

99095136 is a wasteful number, since it uses less digits than its factorization.

99095136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The square root of 99095136 is about 9954.6539869550. The cubic root of 99095136 is about 462.7546370866.

The spelling of 99095136 in words is "ninety-nine million, ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 617 672 717 956 1234 1434 1673 1851 1912 2468 2868 3346 3702 3824 4319 4936 5019 5736 6692 7404 7648 8638 9872 10038 11472 12957 13384 14808 17276 19744 20076 22944 25914 26768 29616 34552 40152 51828 53536 59232 69104 80304 103656 138208 147463 160608 207312 294926 414624 442389 589852 884778 1032241 1179704 1769556 2064482 2359408 3096723 3539112 4128964 4718816 6193446 7078224 8257928 12386892 14156448 16515856 24773784 33031712 49547568 99095136