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690099120 = 243254720393
BaseRepresentation
bin101001001000100…
…001001110110000
31210002112200000200
4221020201032300
52403131132440
6152251115200
723046513534
oct5110411660
91702480020
10690099120
113245a7757
12173142b00
13acc83999
146791bbc4
15408b8c30
hex292213b0

690099120 has 120 divisors (see below), whose sum is σ = 2367009216. Its totient is φ = 180102144.

The previous prime is 690099097. The next prime is 690099169. The reversal of 690099120 is 21990096.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 23644 + ... + 44036.

Almost surely, 2690099120 is an apocalyptic number.

690099120 is a gapful number since it is divisible by the number (60) 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 690099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183504608).

690099120 is an abundant number, since it is smaller than the sum of its proper divisors (1676910096).

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

690099120 is a wasteful number, since it uses less digits than its factorization.

690099120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20459 (or 20450 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 690099120 is about 26269.7377223299. The cubic root of 690099120 is about 883.6979032300.

The spelling of 690099120 in words is "six hundred ninety million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 20393 33840 40786 61179 81572 101965 122358 163144 183537 203930 244716 305895 326288 367074 407860 489432 611790 734148 815720 917685 958471 978864 1223580 1468296 1631440 1835370 1916942 2447160 2875413 2936592 3670740 3833884 4792355 4894320 5750826 7341480 7667768 8626239 9584710 11501652 14377065 14682960 15335536 17252478 19169420 23003304 28754130 34504956 38338840 43131195 46006608 57508260 69009912 76677680 86262390 115016520 138019824 172524780 230033040 345049560 690099120