Search a number
-
+
124080640 = 295192551
BaseRepresentation
bin1110110010101…
…01001000000000
322122110221122021
413121111020000
5223231040030
620151251224
73034445065
oct731251000
9278427567
10124080640
1164049692
1235679b14
131c9253c8
141269cc6c
15ad5e97a
hex7655200

124080640 has 80 divisors (see below), whose sum is σ = 313283520. Its totient is φ = 47001600.

The previous prime is 124080587. The next prime is 124080641. The reversal of 124080640 is 46080421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (124080641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47365 + ... + 49915.

It is an arithmetic number, because the mean of its divisors is an integer number (3916044).

Almost surely, 2124080640 is an apocalyptic number.

124080640 is a gapful number since it is divisible by the number (10) 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 124080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156641760).

124080640 is an abundant number, since it is smaller than the sum of its proper divisors (189202880).

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

124080640 is an equidigital number, since it uses as much as digits as its factorization.

124080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 124080640 is about 11139.1489800613. The cubic root of 124080640 is about 498.7711690899.

The spelling of 124080640 in words is "one hundred twenty-four million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1216 1280 1520 2432 2551 2560 3040 4864 5102 6080 9728 10204 12160 12755 20408 24320 25510 40816 48469 48640 51020 81632 96938 102040 163264 193876 204080 242345 326528 387752 408160 484690 653056 775504 816320 969380 1306112 1551008 1632640 1938760 3102016 3265280 3877520 6204032 6530560 7755040 12408064 15510080 24816128 31020160 62040320 124080640