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1006045431 = 31719726381
BaseRepresentation
bin111011111101110…
…000100011110111
32121010001101212220
4323331300203313
54030021423211
6243455013423
733634150026
oct7375604367
92533041786
101006045431
11476982906
12240b0a273
13130575a71
14978828bd
155d4c7806
hex3bf708f7

1006045431 has 8 divisors (see below), whose sum is σ = 1420299504. Its totient is φ = 631244160.

The previous prime is 1006045427. The next prime is 1006045463. The reversal of 1006045431 is 1345406001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006045431 - 22 = 1006045427 is a prime.

It is a super-2 number, since 2×10060454312 = 2024254818471951522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006145431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9863140 + ... + 9863241.

It is an arithmetic number, because the mean of its divisors is an integer number (177537438).

Almost surely, 21006045431 is an apocalyptic number.

1006045431 is a deficient number, since it is larger than the sum of its proper divisors (414254073).

1006045431 is a wasteful number, since it uses less digits than its factorization.

1006045431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19726401.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1006045431 is about 31718.2192280714. The cubic root of 1006045431 is about 1002.0110964465.

The spelling of 1006045431 in words is "one billion, six million, forty-five thousand, four hundred thirty-one".

Divisors: 1 3 17 51 19726381 59179143 335348477 1006045431