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99248640 = 293512923
BaseRepresentation
bin1011110101001…
…10101000000000
320220202100112120
411322212220000
5200401424030
613503124240
72313412431
oct572465000
9226670476
1099248640
1151028a77
12292a3680
131773c80a
14d277488
158aa7010
hex5ea6a00

99248640 has 80 divisors (see below), whose sum is σ = 317310048. Its totient is φ = 26464256.

The previous prime is 99248629. The next prime is 99248671. The reversal of 99248640 is 4684299.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 99248592 and 99248601.

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, 1219 + ... + 14141.

Almost surely, 299248640 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 99248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158655024).

99248640 is an abundant number, since it is smaller than the sum of its proper divisors (218061408).

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

99248640 is a wasteful number, since it uses less digits than its factorization.

99248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12949 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 99248640 is about 9962.3611659084. The cubic root of 99248640 is about 462.9934582279.

The spelling of 99248640 in words is "ninety-nine million, two hundred forty-eight thousand, six hundred forty".

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 1280 1536 1920 2560 3840 7680 12923 25846 38769 51692 64615 77538 103384 129230 155076 193845 206768 258460 310152 387690 413536 516920 620304 775380 827072 1033840 1240608 1550760 1654144 2067680 2481216 3101520 3308288 4135360 4962432 6203040 6616576 8270720 9924864 12406080 16541440 19849728 24812160 33082880 49624320 99248640