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1014217040 = 24512677713
BaseRepresentation
bin111100011100111…
…011100101010000
32121200102120020002
4330130323211100
54034114421130
6244350105132
734063462664
oct7434734520
92550376202
101014217040
11480554301
122437ab1a8
13132177335
14989ac8a4
155e08db45
hex3c73b950

1014217040 has 20 divisors (see below), whose sum is σ = 2358054804. Its totient is φ = 405686784.

The previous prime is 1014217007. The next prime is 1014217051. The reversal of 1014217040 is 407124101.

1014217040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 752295184 + 261921856 = 27428^2 + 16184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6338777 + ... + 6338936.

Almost surely, 21014217040 is an apocalyptic number.

1014217040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014217040 is an abundant number, since it is smaller than the sum of its proper divisors (1343837764).

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

1014217040 is a wasteful number, since it uses less digits than its factorization.

1014217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677726 (or 12677720 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1014217040 is about 31846.7744049535. The cubic root of 1014217040 is about 1004.7167308053.

The spelling of 1014217040 in words is "one billion, fourteen million, two hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12677713 25355426 50710852 63388565 101421704 126777130 202843408 253554260 507108520 1014217040