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1242910656 = 26341318443
BaseRepresentation
bin100101000010101…
…0100111111000000
310012121202101220000
41022011110333000
510021141120111
6323155520000
742541365141
oct11205247700
93177671800
101242910656
11588655199
122a82b9000
1316a669ac0
14bb0ddac8
15741b4c56
hex4a154fc0

1242910656 has 140 divisors (see below), whose sum is σ = 3968005272. Its totient is φ = 382413312.

The previous prime is 1242910651. The next prime is 1242910661. The reversal of 1242910656 is 6560192421.

It is an interprime number because it is at equal distance from previous prime (1242910651) and next prime (1242910661).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1242910656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242910651) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 58171 + ... + 76613.

Almost surely, 21242910656 is an apocalyptic number.

1242910656 is a gapful number since it is divisible by the number (16) 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 1242910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984002636).

1242910656 is an abundant number, since it is smaller than the sum of its proper divisors (2725094616).

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

1242910656 is a wasteful number, since it uses less digits than its factorization.

1242910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18480 (or 18461 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1242910656 is about 35254.9380371034. The cubic root of 1242910656 is about 1075.1770124231.

The spelling of 1242910656 in words is "one billion, two hundred forty-two million, nine hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 18443 22464 33696 36886 55329 67392 73772 110658 147544 165987 221316 239759 295088 331974 442632 479518 497961 590176 663948 719277 885264 959036 995922 1180352 1327896 1438554 1493883 1770528 1918072 1991844 2157831 2655792 2877108 2987766 3541056 3836144 3983688 4315662 5311584 5754216 5975532 6473493 7672288 7967376 8631324 10623168 11508432 11951064 12946986 15344576 15934752 17262648 19420479 23016864 23902128 25893972 31869504 34525296 38840958 46033728 47804256 51787944 69050592 77681916 95608512 103575888 138101184 155363832 207151776 310727664 414303552 621455328 1242910656