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249341940 = 223251972907
BaseRepresentation
bin11101101110010…
…10011111110100
3122101011212211200
432313022133310
51002312420230
640424132500
76115241301
oct1667123764
9571155750
10249341940
11118824321
126b607130
133c872013
14251880a8
1516d54160
hexedca7f4

249341940 has 72 divisors (see below), whose sum is σ = 796155360. Its totient is φ = 62990784.

The previous prime is 249341899. The next prime is 249341977. The reversal of 249341940 is 49143942.

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

It is a junction number, because it is equal to n+sod(n) for n = 249341895 and 249341904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33034 + ... + 39873.

Almost surely, 2249341940 is an apocalyptic number.

249341940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249341940 is an abundant number, since it is smaller than the sum of its proper divisors (546813420).

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

249341940 is a wasteful number, since it uses less digits than its factorization.

249341940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72941 (or 72936 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 249341940 is about 15790.5649043978. The cubic root of 249341940 is about 629.4073034952.

The spelling of 249341940 in words is "two hundred forty-nine million, three hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 72907 145814 218721 291628 364535 437442 656163 729070 874884 1093605 1312326 1385233 1458140 2187210 2624652 2770466 3280815 4155699 4374420 5540932 6561630 6926165 8311398 12467097 13123260 13852330 16622796 20778495 24934194 27704660 41556990 49868388 62335485 83113980 124670970 249341940