Search a number
-
+
114942540 = 22352417949
BaseRepresentation
bin1101101100111…
…10001001001100
322000021200112010
412312132021030
5213411130130
615223341220
72563665306
oct666361114
9260250463
10114942540
1159978039
12325b1810
131aa75c4b
14113a0976
15a1570b0
hex6d9e24c

114942540 has 48 divisors (see below), whose sum is σ = 323215200. Its totient is φ = 30520320.

The previous prime is 114942517. The next prime is 114942601. The reversal of 114942540 is 45249411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114942498 and 114942507.

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, 10486 + ... + 18434.

It is an arithmetic number, because the mean of its divisors is an integer number (6733650).

Almost surely, 2114942540 is an apocalyptic number.

114942540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114942540 is an abundant number, since it is smaller than the sum of its proper divisors (208272660).

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

114942540 is a wasteful number, since it uses less digits than its factorization.

114942540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 114942540 is about 10721.1258737131. The cubic root of 114942540 is about 486.2134069294.

The spelling of 114942540 in words is "one hundred fourteen million, nine hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2410 2892 3615 4820 7230 7949 14460 15898 23847 31796 39745 47694 79490 95388 119235 158980 238470 476940 1915709 3831418 5747127 7662836 9578545 11494254 19157090 22988508 28735635 38314180 57471270 114942540