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99668880 = 243651709
BaseRepresentation
bin1011111000011…
…01001110010000
320221112201000000
411330031032100
5201003401010
613520130000
72320112553
oct574151620
9227481000
1099668880
1151295783
1229466900
1317858b8c
14d34669a
158b3b7c0
hex5f0d390

99668880 has 140 divisors (see below), whose sum is σ = 347639580. Its totient is φ = 26562816.

The previous prime is 99668873. The next prime is 99668887. The reversal of 99668880 is 8886699.

It is an interprime number because it is at equal distance from previous prime (99668873) and next prime (99668887).

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 72795024 = 5184^2 + 8532^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99668887) 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 27 ways as a sum of consecutive naturals, for example, 57466 + ... + 59174.

Almost surely, 299668880 is an apocalyptic number.

99668880 is a gapful number since it is divisible by the number (90) 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 99668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173819790).

99668880 is an abundant number, since it is smaller than the sum of its proper divisors (247970700).

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

99668880 is a wasteful number, since it uses less digits than its factorization.

99668880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 99668880 is about 9983.4302722060. The cubic root of 99668880 is about 463.6460092363.

The spelling of 99668880 in words is "ninety-nine million, six hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1709 1944 2160 2430 2916 3240 3418 3645 3888 4860 5127 5832 6480 6836 7290 8545 9720 10254 11664 13672 14580 15381 17090 19440 20508 25635 27344 29160 30762 34180 41016 46143 51270 58320 61524 68360 76905 82032 92286 102540 123048 136720 138429 153810 184572 205080 230715 246096 276858 307620 369144 410160 415287 461430 553716 615240 692145 738288 830574 922860 1107432 1230480 1245861 1384290 1661148 1845720 2076435 2214864 2491722 2768580 3322296 3691440 4152870 4983444 5537160 6229305 6644592 8305740 9966888 11074320 12458610 16611480 19933776 24917220 33222960 49834440 99668880