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672061896 = 233211312883
BaseRepresentation
bin101000000011101…
…101100111001000
31201211121021121100
4220003231213020
52334021440041
6150404341400
722440301062
oct5003554710
91654537540
10672061896
113153a8060
121690a4860
13a9309a7c
1465384732
153e0046b6
hex280ed9c8

672061896 has 144 divisors (see below), whose sum is σ = 2054080080. Its totient is φ = 196862400.

The previous prime is 672061879. The next prime is 672061903. The reversal of 672061896 is 698160276.

672061896 is a `hidden beast` number, since 6 + 7 + 20 + 618 + 9 + 6 = 666.

It is a super-2 number, since 2×6720618962 = 903334384110229632, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 760671 + ... + 761553.

It is an arithmetic number, because the mean of its divisors is an integer number (14264445).

Almost surely, 2672061896 is an apocalyptic number.

672061896 is a gapful number since it is divisible by the number (66) 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 672061896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027040040).

672061896 is an abundant number, since it is smaller than the sum of its proper divisors (1382018184).

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

672061896 is a wasteful number, since it uses less digits than its factorization.

672061896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 672061896 is about 25924.1566111610. The cubic root of 672061896 is about 875.9307194850.

The spelling of 672061896 in words is "six hundred seventy-two million, sixty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 883 961 1023 1116 1364 1766 1922 2046 2232 2649 2728 2883 3069 3532 3844 4092 5298 5766 6138 7064 7688 7947 8184 8649 9713 10571 10596 11532 12276 15894 17298 19426 21142 21192 23064 24552 27373 29139 31713 31788 34596 38852 42284 54746 58278 63426 63576 69192 77704 82119 84568 87417 95139 109492 116556 126852 164238 174834 190278 218984 233112 246357 253704 301103 328476 349668 380556 492714 602206 656952 699336 761112 848563 903309 985428 1204412 1697126 1806618 1970856 2408824 2545689 2709927 3394252 3613236 5091378 5419854 6788504 7226472 7637067 9334193 10182756 10839708 15274134 18668386 20365512 21679416 28002579 30548268 37336772 56005158 61096536 74673544 84007737 112010316 168015474 224020632 336030948 672061896