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1014253424 = 24295937049
BaseRepresentation
bin111100011101000…
…100011101110000
32121200111102010122
4330131010131300
54034122102144
6244350545412
734064004032
oct7435043560
92550442118
101014253424
11480579678
12243808268
1313218aa72
14989bbc52
155e0997ee
hex3c744770

1014253424 has 40 divisors (see below), whose sum is σ = 2067390000. Its totient is φ = 481327616.

The previous prime is 1014253423. The next prime is 1014253477. The reversal of 1014253424 is 4243524101.

1014253424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1014253393 and 1014253402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014253423) 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, 8852 + ... + 45900.

It is an arithmetic number, because the mean of its divisors is an integer number (51684750).

Almost surely, 21014253424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014253424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033695000).

1014253424 is an abundant number, since it is smaller than the sum of its proper divisors (1053136576).

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

1014253424 is a wasteful number, since it uses less digits than its factorization.

1014253424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37145 (or 37139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1014253424 is about 31847.3456350761. The cubic root of 1014253424 is about 1004.7287450570.

Adding to 1014253424 its reverse (4243524101), we get a palindrome (5257777525).

The spelling of 1014253424 in words is "one billion, fourteen million, two hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 59 116 118 232 236 464 472 944 1711 3422 6844 13688 27376 37049 74098 148196 296392 592784 1074421 2148842 2185891 4297684 4371782 8595368 8743564 17190736 17487128 34974256 63390839 126781678 253563356 507126712 1014253424