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99693720 = 23335713187
BaseRepresentation
bin1011111000100…
…11010010011000
320221120222002000
411330103102120
5201010144340
613520441000
72320245150
oct574232230
9227528060
1099693720
1151302405
1229479160
1317867289
14d351760
158b43d30
hex5f13498

99693720 has 128 divisors (see below), whose sum is σ = 379814400. Its totient is φ = 22785408.

The previous prime is 99693697. The next prime is 99693733. The reversal of 99693720 is 2739699.

It is a super-3 number, since 3×996937203 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 967 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (2967300).

Almost surely, 299693720 is an apocalyptic number.

99693720 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 99693720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189907200).

99693720 is an abundant number, since it is smaller than the sum of its proper divisors (280120680).

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

99693720 is a wasteful number, since it uses less digits than its factorization.

99693720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 99693720 is about 9984.6742560787. The cubic root of 99693720 is about 463.6845234653.

It can be divided in two parts, 9969 and 3720, that added together give a square (13689 = 1172).

The spelling of 99693720 in words is "ninety-nine million, six hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 13187 26374 39561 52748 65935 79122 92309 105496 118683 131870 158244 184618 197805 237366 263740 276927 316488 356049 369236 395610 461545 474732 527480 553854 593415 712098 738472 791220 830781 923090 949464 1107708 1186830 1384635 1424196 1582440 1661562 1780245 1846180 2215416 2373660 2492343 2769270 2848392 3323124 3560490 3692360 4153905 4747320 4984686 5538540 6646248 7120980 8307810 9969372 11077080 12461715 14241960 16615620 19938744 24923430 33231240 49846860 99693720