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1010306040 = 233516575081
BaseRepresentation
bin111100001110000…
…000101111111000
32121102001212100020
4330032000233320
54032114243130
6244130210440
734015313442
oct7416005770
92542055306
101010306040
11479322977
12242423a20
13131408133
1498271492
155da69e10
hex3c380bf8

1010306040 has 64 divisors (see below), whose sum is σ = 3033344160. Its totient is φ = 269199360.

The previous prime is 1010305991. The next prime is 1010306041. The reversal of 1010306040 is 406030101.

1010306040 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010306041) 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, 196300 + ... + 201380.

Almost surely, 21010306040 is an apocalyptic number.

1010306040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010306040 is an abundant number, since it is smaller than the sum of its proper divisors (2023038120).

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

1010306040 is a wasteful number, since it uses less digits than its factorization.

1010306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1010306040 is about 31785.3117021054. The cubic root of 1010306040 is about 1003.4236121702.

Adding to 1010306040 its reverse (406030101), we get a palindrome (1416336141).

The spelling of 1010306040 in words is "one billion, ten million, three hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1657 3314 4971 5081 6628 8285 9942 10162 13256 15243 16570 19884 20324 24855 25405 30486 33140 39768 40648 49710 50810 60972 66280 76215 99420 101620 121944 152430 198840 203240 304860 609720 8419217 16838434 25257651 33676868 42096085 50515302 67353736 84192170 101030604 126288255 168384340 202061208 252576510 336768680 505153020 1010306040