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253474520 = 23513612131
BaseRepresentation
bin11110001101110…
…11011011011000
3122122221211200012
433012323123120
51004342141040
641052501052
76165332525
oct1706733330
9578854605
10253474520
11120097182
1270a7a788
134068b030
142594214c
15173bd865
hexf1bb6d8

253474520 has 96 divisors (see below), whose sum is σ = 629188560. Its totient is φ = 91353600.

The previous prime is 253474519. The next prime is 253474537. The reversal of 253474520 is 25474352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934855 + ... + 1934985.

Almost surely, 2253474520 is an apocalyptic number.

253474520 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 253474520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314594280).

253474520 is an abundant number, since it is smaller than the sum of its proper divisors (375714040).

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

253474520 is a wasteful number, since it uses less digits than its factorization.

253474520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 253474520 is about 15920.8831413336. The cubic root of 253474520 is about 632.8655221883.

The spelling of 253474520 in words is "two hundred fifty-three million, four hundred seventy-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 131 244 260 262 305 488 520 524 610 655 793 1048 1220 1310 1586 1703 2440 2620 3172 3406 3721 3965 5240 6344 6812 7442 7930 7991 8515 13624 14884 15860 15982 17030 18605 29768 31720 31964 34060 37210 39955 48373 63928 68120 74420 79910 96746 103883 148840 159820 193492 207766 241865 319640 386984 415532 483730 487451 519415 831064 967460 974902 1038830 1934920 1949804 2077660 2437255 3899608 4155320 4874510 6336863 9749020 12673726 19498040 25347452 31684315 50694904 63368630 126737260 253474520