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145013880 = 233511109859
BaseRepresentation
bin10001010010010…
…11110001111000
3101002212110122110
420221023301320
5244110421010
622220052320
73410411664
oct1051136170
9332773573
10145013880
1174947090
12406940a0
132407453b
141538b8a4
15cae7120
hex8a4bc78

145013880 has 64 divisors (see below), whose sum is σ = 474595200. Its totient is φ = 35154560.

The previous prime is 145013863. The next prime is 145013899. The reversal of 145013880 is 88310541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53610 + ... + 56249.

It is an arithmetic number, because the mean of its divisors is an integer number (7415550).

Almost surely, 2145013880 is an apocalyptic number.

145013880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145013880 is an abundant number, since it is smaller than the sum of its proper divisors (329581320).

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

145013880 is a wasteful number, since it uses less digits than its factorization.

145013880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109884 (or 109880 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 145013880 is about 12042.1709006308. The cubic root of 145013880 is about 525.3755498868.

It can be divided in two parts, 14501 and 3880, that added together give a palindrome (18381).

The spelling of 145013880 in words is "one hundred forty-five million, thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 109859 219718 329577 439436 549295 659154 878872 1098590 1208449 1318308 1647885 2197180 2416898 2636616 3295770 3625347 4394360 4833796 6042245 6591540 7250694 9667592 12084490 13183080 14501388 18126735 24168980 29002776 36253470 48337960 72506940 145013880