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251343040 = 26513311949
BaseRepresentation
bin11101111101100…
…11000011000000
3122111221112211111
432332303003000
51003320434130
640535053104
76141244354
oct1676630300
9574845744
10251343040
11119970823
1270211194
13400c2ac0
1425549464
15170ec02a
hexefb30c0

251343040 has 112 divisors (see below), whose sum is σ = 665683200. Its totient is φ = 89763840.

The previous prime is 251343023. The next prime is 251343061. The reversal of 251343040 is 40343152.

251343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127986 + ... + 129934.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2251343040 is an apocalyptic number.

251343040 is a gapful number since it is divisible by the number (20) 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 251343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841600).

251343040 is an abundant number, since it is smaller than the sum of its proper divisors (414340160).

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

251343040 is a wasteful number, since it uses less digits than its factorization.

251343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 251343040 is about 15853.8020676430. The cubic root of 251343040 is about 631.0865937855.

Adding to 251343040 its reverse (40343152), we get a palindrome (291686192).

The spelling of 251343040 in words is "two hundred fifty-one million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1612 1949 1984 2015 2080 2480 3224 3898 4030 4160 4960 6448 7796 8060 9745 9920 12896 15592 16120 19490 25337 25792 31184 32240 38980 50674 60419 62368 64480 77960 101348 120838 124736 126685 128960 155920 202696 241676 253370 302095 311840 405392 483352 506740 604190 623680 785447 810784 966704 1013480 1208380 1570894 1621568 1933408 2026960 2416760 3141788 3866816 3927235 4053920 4833520 6283576 7854470 8107840 9667040 12567152 15708940 19334080 25134304 31417880 50268608 62835760 125671520 251343040