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99664380 = 223253153337
BaseRepresentation
bin1011111000011…
…00000111111100
320221112110211100
411330030013330
5201003230010
613520053100
72320063464
oct574140774
9227473740
1099664380
1151292362
1229464190
1317856b0a
14d344ba4
158b3a2c0
hex5f0c1fc

99664380 has 144 divisors (see below), whose sum is σ = 318898944. Its totient is φ = 25159680.

The previous prime is 99664363. The next prime is 99664381. The reversal of 99664380 is 8346699.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99664381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295572 + ... + 295908.

It is an arithmetic number, because the mean of its divisors is an integer number (2214576).

Almost surely, 299664380 is an apocalyptic number.

99664380 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 99664380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159449472).

99664380 is an abundant number, since it is smaller than the sum of its proper divisors (219234564).

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

99664380 is a wasteful number, since it uses less digits than its factorization.

99664380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 99664380 is about 9983.2048962245. The cubic root of 99664380 is about 463.6390313362.

The spelling of 99664380 in words is "ninety-nine million, six hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 53 60 62 90 93 106 124 155 159 180 186 212 265 279 310 318 337 372 465 477 530 558 620 636 674 795 930 954 1011 1060 1116 1348 1395 1590 1643 1685 1860 1908 2022 2385 2790 3033 3180 3286 3370 4044 4770 4929 5055 5580 6066 6572 6740 8215 9540 9858 10110 10447 12132 14787 15165 16430 17861 19716 20220 20894 24645 29574 30330 31341 32860 35722 41788 49290 52235 53583 59148 60660 62682 71444 73935 89305 94023 98580 104470 107166 125364 147870 156705 160749 178610 188046 208940 214332 267915 295740 313410 321498 357220 376092 470115 535830 553691 626820 642996 803745 940230 1071660 1107382 1607490 1661073 1880460 2214764 2768455 3214980 3322146 4983219 5536910 6644292 8305365 9966438 11073820 16610730 19932876 24916095 33221460 49832190 99664380