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99117642 = 231319471423
BaseRepresentation
bin1011110100001…
…10101001001010
320220111200211210
411322012221022
5200333231032
613500233550
72312325501
oct572065112
9226450753
1099117642
1150a49608
122923b8b6
13176c4cc0
14d241838
158a7d2cc
hex5e86a4a

99117642 has 64 divisors (see below), whose sum is σ = 229662720. Its totient is φ = 28257984.

The previous prime is 99117617. The next prime is 99117647. The reversal of 99117642 is 24671199.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 99117642.

It is not an unprimeable number, because it can be changed into a prime (99117647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68943 + ... + 70365.

It is an arithmetic number, because the mean of its divisors is an integer number (3588480).

Almost surely, 299117642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99117642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114831360).

99117642 is an abundant number, since it is smaller than the sum of its proper divisors (130545078).

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

99117642 is a wasteful number, since it uses less digits than its factorization.

99117642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507.

The product of its digits is 27216, while the sum is 39.

The square root of 99117642 is about 9955.7843488095. The cubic root of 99117642 is about 462.7896672873.

The spelling of 99117642 in words is "ninety-nine million, one hundred seventeen thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 47 57 78 94 114 141 247 282 494 611 741 893 1222 1423 1482 1786 1833 2679 2846 3666 4269 5358 8538 11609 18499 23218 27037 34827 36998 54074 55497 66881 69654 81111 110994 133762 162222 200643 351481 401286 702962 869453 1054443 1270739 1738906 2108886 2541478 2608359 3812217 5216718 7624434 16519607 33039214 49558821 99117642