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1020010040 = 235729125617
BaseRepresentation
bin111100110011000…
…001111000111000
32122002022212201122
4330303001320320
54042110310130
6245114204412
734163641130
oct7463017070
92562285648
101020010040
11483850705
12245723708
1313342504a
1499679ac0
155e8352e5
hex3ccc1e38

1020010040 has 64 divisors (see below), whose sum is σ = 2713348800. Its totient is φ = 337655808.

The previous prime is 1020010039. The next prime is 1020010051. The reversal of 1020010040 is 400100201.

1020010040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 2.

It is a congruent number.

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, 54689 + ... + 70928.

It is an arithmetic number, because the mean of its divisors is an integer number (42396075).

Almost surely, 21020010040 is an apocalyptic number.

1020010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010040 is an abundant number, since it is smaller than the sum of its proper divisors (1693338760).

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

1020010040 is a wasteful number, since it uses less digits than its factorization.

1020010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125664 (or 125660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1020010040 is about 31937.5960272529. The cubic root of 1020010040 is about 1006.6260123244.

Adding to 1020010040 its reverse (400100201), we get a palindrome (1420110241).

The spelling of 1020010040 in words is "one billion, twenty million, ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 125617 251234 502468 628085 879319 1004936 1256170 1758638 2512340 3517276 3642893 4396595 5024680 7034552 7285786 8793190 14571572 17586380 18214465 25500251 29143144 35172760 36428930 51000502 72857860 102001004 127501255 145715720 204002008 255002510 510005020 1020010040