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114620440 = 23511337773
BaseRepresentation
bin1101101010011…
…11100000011000
321222200022200111
412311033200120
5213320323230
615212414104
72561154244
oct665174030
9258608614
10114620440
1159778040
1232477334
131a99245c
1411319424
15a0e192a
hex6d4f818

114620440 has 64 divisors (see below), whose sum is σ = 282540960. Its totient is φ = 41502720.

The previous prime is 114620419. The next prime is 114620449. The reversal of 114620440 is 44026411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114620449) by changing a digit.

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, 147894 + ... + 148666.

Almost surely, 2114620440 is an apocalyptic number.

114620440 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 114620440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141270480).

114620440 is an abundant number, since it is smaller than the sum of its proper divisors (167920520).

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

114620440 is a wasteful number, since it uses less digits than its factorization.

114620440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 114620440 is about 10706.0935919690. The cubic root of 114620440 is about 485.7588149981.

Adding to 114620440 its reverse (44026411), we get a palindrome (158646851).

The spelling of 114620440 in words is "one hundred fourteen million, six hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 337 440 674 773 1348 1546 1685 2696 3092 3370 3707 3865 6184 6740 7414 7730 8503 13480 14828 15460 17006 18535 29656 30920 34012 37070 42515 68024 74140 85030 148280 170060 260501 340120 521002 1042004 1302505 2084008 2605010 2865511 5210020 5731022 10420040 11462044 14327555 22924088 28655110 57310220 114620440