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99694144 = 26112347131
BaseRepresentation
bin1011111000100…
…11011001000000
320221120222122201
411330103121000
5201010203034
613520442544
72320246324
oct574233100
9227528581
1099694144
1151302760
1229479454
1317867524
14d351984
158b44014
hex5f13640

99694144 has 112 divisors (see below), whose sum is σ = 231745536. Its totient is φ = 42099200.

The previous prime is 99694123. The next prime is 99694181. The reversal of 99694144 is 44149699.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 99694094 and 99694103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760959 + ... + 761089.

Almost surely, 299694144 is an apocalyptic number.

99694144 is a gapful number since it is divisible by the number (94) 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 99694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872768).

99694144 is an abundant number, since it is smaller than the sum of its proper divisors (132051392).

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

99694144 is a wasteful number, since it uses less digits than its factorization.

99694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 99694144 is about 9984.6954885965. The cubic root of 99694144 is about 463.6851808185.

The spelling of 99694144 in words is "ninety-nine million, six hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 64 88 92 94 131 176 184 188 253 262 352 368 376 506 517 524 704 736 752 1012 1034 1048 1081 1441 1472 1504 2024 2068 2096 2162 2882 3008 3013 4048 4136 4192 4324 5764 6026 6157 8096 8272 8384 8648 11528 11891 12052 12314 16192 16544 17296 23056 23782 24104 24628 33088 33143 34592 46112 47564 48208 49256 66286 67727 69184 92224 95128 96416 98512 132572 135454 141611 190256 192832 197024 265144 270908 283222 380512 394048 530288 541816 566444 761024 1060576 1083632 1132888 1557721 2121152 2167264 2265776 3115442 4334528 4531552 6230884 9063104 12461768 24923536 49847072 99694144