Search a number
-
+
124055136 = 2532430747
BaseRepresentation
bin1110110010011…
…10111001100000
322122102122122200
413121032321200
5223224231021
620150533200
73034310532
oct731167140
9278378580
10124055136
1164031507
1235667200
131c91690a
1412693852
15ad57126
hex764ee60

124055136 has 36 divisors (see below), whose sum is σ = 352782612. Its totient is φ = 41351616.

The previous prime is 124055131. The next prime is 124055147. The reversal of 124055136 is 631550421.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1240551363 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124055131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215086 + ... + 215661.

It is an arithmetic number, because the mean of its divisors is an integer number (9799517).

Almost surely, 2124055136 is an apocalyptic number.

124055136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

124055136 is an abundant number, since it is smaller than the sum of its proper divisors (228727476).

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

124055136 is a wasteful number, since it uses less digits than its factorization.

124055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430763 (or 430752 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 124055136 is about 11138.0041300046. The cubic root of 124055136 is about 498.7369936496.

The spelling of 124055136 in words is "one hundred twenty-four million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 430747 861494 1292241 1722988 2584482 3445976 3876723 5168964 6891952 7753446 10337928 13783904 15506892 20675856 31013784 41351712 62027568 124055136