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114239040 = 2635127937
BaseRepresentation
bin1101100111100…
…10011001000000
321221221221111120
412303302121000
5213221122130
615200312240
72555005266
oct663623100
9257857446
10114239040
1159537533
1232312680
131a88a986
141125a436
15a068910
hex6cf2640

114239040 has 112 divisors (see below), whose sum is σ = 365955072. Its totient is φ = 30191616.

The previous prime is 114238991. The next prime is 114239063. The reversal of 114239040 is 40932411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114239040.

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, 121452 + ... + 122388.

It is an arithmetic number, because the mean of its divisors is an integer number (3267456).

Almost surely, 2114239040 is an apocalyptic number.

114239040 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 114239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182977536).

114239040 is an abundant number, since it is smaller than the sum of its proper divisors (251716032).

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

114239040 is a wasteful number, since it uses less digits than its factorization.

114239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114239040 is about 10688.2664637442. The cubic root of 114239040 is about 485.2194281122.

The spelling of 114239040 in words is "one hundred fourteen million, two hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 937 960 1016 1270 1524 1874 1905 2032 2540 2811 3048 3748 3810 4064 4685 5080 5622 6096 7496 7620 8128 9370 10160 11244 12192 14055 14992 15240 18740 20320 22488 24384 28110 29984 30480 37480 40640 44976 56220 59968 60960 74960 89952 112440 118999 121920 149920 179904 224880 237998 299840 356997 449760 475996 594995 713994 899520 951992 1189990 1427988 1784985 1903984 2379980 2855976 3569970 3807968 4759960 5711952 7139940 7615936 9519920 11423904 14279880 19039840 22847808 28559760 38079680 57119520 114239040