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1252990720 = 2851951521
BaseRepresentation
bin100101010101111…
…0001111100000000
310020022201112010201
41022223301330000
510031231200340
6324155534544
743023150112
oct11253617400
93208645121
101252990720
1159330a523
122ab75a454
1316c788c37
14bc5a53b2
157500679a
hex4aaf1f00

1252990720 has 72 divisors (see below), whose sum is σ = 3159329040. Its totient is φ = 474808320.

The previous prime is 1252990703. The next prime is 1252990759. The reversal of 1252990720 is 270992521.

It is a super-2 number, since 2×12529907202 = 3139971488812236800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1252990720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441 + ... + 50080.

It is an arithmetic number, because the mean of its divisors is an integer number (43879570).

Almost surely, 21252990720 is an apocalyptic number.

1252990720 is a gapful number since it is divisible by the number (10) 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 1252990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579664520).

1252990720 is an abundant number, since it is smaller than the sum of its proper divisors (1906338320).

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

1252990720 is an equidigital number, since it uses as much as digits as its factorization.

1252990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51561 (or 51547 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 1252990720 is about 35397.6089587983. The cubic root of 1252990720 is about 1078.0757688869.

The spelling of 1252990720 in words is "one billion, two hundred fifty-two million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 51521 103042 206084 257605 412168 515210 824336 978899 1030420 1648672 1957798 2060840 3297344 3915596 4121680 4894495 6594688 7831192 8243360 9788990 13189376 15662384 16486720 19577980 31324768 32973440 39155960 62649536 65946880 78311920 125299072 156623840 250598144 313247680 626495360 1252990720