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99072512 = 297211359
BaseRepresentation
bin1011110011110…
…11101000000000
320220102101221022
411321323220000
5200330310022
613455245012
72312050100
oct571735000
9226371838
1099072512
1150a18710
1229219768
13176aa5b6
14d22d200
158a6ec42
hex5e7ba00

99072512 has 120 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 38492160.

The previous prime is 99072503. The next prime is 99072521. The reversal of 99072512 is 21527099.

It is an interprime number because it is at equal distance from previous prime (99072503) and next prime (99072521).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 275789 + ... + 276147.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 299072512 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 99072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951760).

99072512 is an abundant number, since it is smaller than the sum of its proper divisors (152831008).

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

99072512 is a wasteful number, since it uses less digits than its factorization.

99072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 99072512 is about 9953.5175691813. The cubic root of 99072512 is about 462.7194178748.

The spelling of 99072512 in words is "ninety-nine million, seventy-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 359 392 448 512 539 616 704 718 784 896 1078 1232 1408 1436 1568 1792 2156 2464 2513 2816 2872 3136 3584 3949 4312 4928 5026 5632 5744 6272 7898 8624 9856 10052 11488 12544 15796 17248 17591 19712 20104 22976 25088 27643 31592 34496 35182 39424 40208 45952 55286 63184 68992 70364 80416 91904 110572 126368 137984 140728 160832 183808 193501 221144 252736 275968 281456 321664 387002 442288 505472 562912 643328 774004 884576 1010944 1125824 1286656 1548008 1769152 2021888 2251648 3096016 3538304 4503296 6192032 7076608 9006592 12384064 14153216 24768128 49536256 99072512