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1402445460 = 2235132776491
BaseRepresentation
bin101001110010111…
…1001111010010100
310121201221121111110
41103211321322110
510333011223320
6351055135020
746516406163
oct12345717224
93551847443
101402445460
1165a70a039
12331814470
131947268b0
14d438b3da
15831c95e0
hex53979e94

1402445460 has 96 divisors (see below), whose sum is σ = 4244833152. Its totient is φ = 343918080.

The previous prime is 1402445453. The next prime is 1402445477. The reversal of 1402445460 is 645442041.

It is a happy number.

It is a super-2 number, since 2×14024454602 = 3933706536549223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212815 + ... + 219305.

It is an arithmetic number, because the mean of its divisors is an integer number (44217012).

Almost surely, 21402445460 is an apocalyptic number.

1402445460 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 1402445460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122416576).

1402445460 is an abundant number, since it is smaller than the sum of its proper divisors (2842387692).

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

1402445460 is a wasteful number, since it uses less digits than its factorization.

1402445460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1402445460 is about 37449.2384435251. The cubic root of 1402445460 is about 1119.3399224936.

The spelling of 1402445460 in words is "one billion, four hundred two million, four hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 277 390 554 780 831 1108 1385 1662 2770 3324 3601 4155 5540 6491 7202 8310 10803 12982 14404 16620 18005 19473 21606 25964 32455 36010 38946 43212 54015 64910 72020 77892 84383 97365 108030 129820 168766 194730 216060 253149 337532 389460 421915 506298 843830 1012596 1265745 1687660 1798007 2531490 3596014 5062980 5394021 7192028 8990035 10788042 17980070 21576084 23374091 26970105 35960140 46748182 53940210 70122273 93496364 107880420 116870455 140244546 233740910 280489092 350611365 467481820 701222730 1402445460