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45880120 = 23511132617
BaseRepresentation
bin1010111100000…
…1001100111000
310012022221200201
42233001030320
543221130440
64315211544
71064655166
oct257011470
9105287621
1045880120
1123997460
1213446bb4
139675100
146144236
15406419a
hex2bc1338

45880120 has 96 divisors (see below), whose sum is σ = 122141520. Its totient is φ = 15375360.

The previous prime is 45880091. The next prime is 45880141. The reversal of 45880120 is 2108854.

It is a super-2 number, since 2×458801202 = 4209970822428800, which contains 22 as substring.

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, 74052 + ... + 74668.

Almost surely, 245880120 is an apocalyptic number.

45880120 is a gapful number since it is divisible by the number (40) 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 45880120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61070760).

45880120 is an abundant number, since it is smaller than the sum of its proper divisors (76261400).

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

45880120 is a wasteful number, since it uses less digits than its factorization.

45880120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 45880120 is about 6773.4865468236. The cubic root of 45880120 is about 357.9932585104.

Adding to 45880120 its reverse (2108854), we get a palindrome (47988974).

The spelling of 45880120 in words is "forty-five million, eight hundred eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 617 676 715 845 1144 1234 1352 1430 1690 1859 2468 2860 3085 3380 3718 4936 5720 6170 6760 6787 7436 8021 9295 12340 13574 14872 16042 18590 24680 27148 32084 33935 37180 40105 54296 64168 67870 74360 80210 88231 104273 135740 160420 176462 208546 271480 320840 352924 417092 441155 521365 705848 834184 882310 1042730 1147003 1764620 2085460 2294006 3529240 4170920 4588012 5735015 9176024 11470030 22940060 45880120