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990949680 = 24335765539
BaseRepresentation
bin111011000100001…
…011000100110000
32120001122110102000
4323010023010300
54012140342210
6242155254000
733361635060
oct7304130460
92501573360
10990949680
11469402186
12237a4a300
1312a3bb976
14958733a0
155bee4ac0
hex3b10b130

990949680 has 160 divisors (see below), whose sum is σ = 3900940800. Its totient is φ = 226499328.

The previous prime is 990949667. The next prime is 990949721. The reversal of 990949680 is 86949099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17650 + ... + 47889.

It is an arithmetic number, because the mean of its divisors is an integer number (24380880).

Almost surely, 2990949680 is an apocalyptic number.

990949680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

990949680 is an abundant number, since it is smaller than the sum of its proper divisors (2909991120).

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

990949680 is a wasteful number, since it uses less digits than its factorization.

990949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65568 (or 65556 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 990949680 is about 31479.3532335085. The cubic root of 990949680 is about 996.9740797084.

The spelling of 990949680 in words is "nine hundred ninety million, nine hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 65539 131078 196617 262156 327695 393234 458773 524312 589851 655390 786468 917546 983085 1048624 1179702 1310780 1376319 1572936 1769553 1835092 1966170 2293865 2359404 2621560 2752638 2949255 3145872 3539106 3670184 3932340 4128957 4587730 4718808 5243120 5505276 5898510 6881595 7078212 7340368 7864680 8257914 8847765 9175460 9437616 11010552 11797020 12386871 13763190 14156424 15729360 16515828 17695530 18350920 20644785 22021104 23594040 24773742 27526380 28312848 33031656 35391060 36701840 41289570 47188080 49547484 55052760 61934355 66063312 70782120 82579140 99094968 110105520 123868710 141564240 165158280 198189936 247737420 330316560 495474840 990949680