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99471360 = 212351619
BaseRepresentation
bin1011110110111…
…01000000000000
320221011200001110
411323131000000
5200431040420
613512003320
72315330652
oct573350000
9227150043
1099471360
115117033a
1229390540
13177b9cc1
14d2d46d2
158aecee0
hex5edd000

99471360 has 104 divisors (see below), whose sum is σ = 318466080. Its totient is φ = 26509312.

The previous prime is 99471347. The next prime is 99471391. The reversal of 99471360 is 6317499.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60631 + ... + 62249.

Almost surely, 299471360 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 99471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159233040).

99471360 is an abundant number, since it is smaller than the sum of its proper divisors (218994720).

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

99471360 is a wasteful number, since it uses less digits than its factorization.

99471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 99471360 is about 9973.5329748289. The cubic root of 99471360 is about 463.3395280069.

The spelling of 99471360 in words is "ninety-nine million, four hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1619 1920 2048 2560 3072 3238 3840 4096 4857 5120 6144 6476 7680 8095 9714 10240 12288 12952 15360 16190 19428 20480 24285 25904 30720 32380 38856 48570 51808 61440 64760 77712 97140 103616 129520 155424 194280 207232 259040 310848 388560 414464 518080 621696 777120 828928 1036160 1243392 1554240 1657856 2072320 2486784 3108480 3315712 4144640 4973568 6216960 6631424 8289280 9947136 12433920 16578560 19894272 24867840 33157120 49735680 99471360