Search a number
-
+
259270144 = 29772341
BaseRepresentation
bin11110111010000…
…10011000000000
3200001212021202221
433131002120000
51012333121034
641421020424
76265521430
oct1735023000
9601767687
10259270144
11123395551
12729b4714
1341939cb3
14266102c0
1517b65bb4
hexf742600

259270144 has 40 divisors (see below), whose sum is σ = 592046928. Its totient is φ = 111114240.

The previous prime is 259270103. The next prime is 259270157. The reversal of 259270144 is 441072952.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 32587 + ... + 39754.

Almost surely, 2259270144 is an apocalyptic number.

It is an amenable number.

259270144 is an abundant number, since it is smaller than the sum of its proper divisors (332776784).

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

259270144 is an frugal number, since it uses more digits than its factorization.

259270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72366 (or 72350 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 259270144 is about 16101.8677177525. The cubic root of 259270144 is about 637.6526510773.

The spelling of 259270144 in words is "two hundred fifty-nine million, two hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 72341 144682 289364 506387 578728 1012774 1157456 2025548 2314912 4051096 4629824 8102192 9259648 16204384 18519296 32408768 37038592 64817536 129635072 259270144