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1002138540 = 2235131284793
BaseRepresentation
bin111011101110110…
…110101110101100
32120211200220122020
4323232312232230
54023021413130
6243235150140
733556015464
oct7356665654
92524626566
101002138540
11474754577
1223b745350
1312c8086b0
1497146ba4
155cea4e10
hex3bbb6bac

1002138540 has 48 divisors (see below), whose sum is σ = 3021835488. Its totient is φ = 246680064.

The previous prime is 1002138539. The next prime is 1002138547. The reversal of 1002138540 is 458312001.

1002138540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1002138540.

It is not an unprimeable number, because it can be changed into a prime (1002138547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641617 + ... + 643176.

It is an arithmetic number, because the mean of its divisors is an integer number (62954906).

Almost surely, 21002138540 is an apocalyptic number.

1002138540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002138540 is an abundant number, since it is smaller than the sum of its proper divisors (2019696948).

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

1002138540 is a wasteful number, since it uses less digits than its factorization.

1002138540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284818 (or 1284816 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1002138540 is about 31656.5718295586. The cubic root of 1002138540 is about 1000.7123391192.

The spelling of 1002138540 in words is "one billion, two million, one hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1284793 2569586 3854379 5139172 6423965 7708758 12847930 15417516 16702309 19271895 25695860 33404618 38543790 50106927 66809236 77087580 83511545 100213854 167023090 200427708 250534635 334046180 501069270 1002138540