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1390137841 = 374143101211
BaseRepresentation
bin101001011011011…
…1101000111110001
310120212210022121201
41102312331013301
510321333402331
6345535251201
746306656001
oct12266750761
93525708551
101390137841
11653773154
12329679b01
13192007891
14d28a6001
1582097a61
hex52dbd1f1

1390137841 has 32 divisors (see below), whose sum is σ = 1518523776. Its totient is φ = 1270080000.

The previous prime is 1390137811. The next prime is 1390137851. The reversal of 1390137841 is 1487310931.

It is a 4-Lehmer number, since φ(1390137841) divides (1390137841-1)4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1390137841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R1390137840.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1390137841.

It is not an unprimeable number, because it can be changed into a prime (1390137811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6588226 + ... + 6588436.

It is an arithmetic number, because the mean of its divisors is an integer number (47453868).

Almost surely, 21390137841 is an apocalyptic number.

It is an amenable number.

1390137841 is a deficient number, since it is larger than the sum of its proper divisors (128385935).

1390137841 is a wasteful number, since it uses less digits than its factorization.

1390137841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1390137841 is about 37284.5523105750. The cubic root of 1390137841 is about 1116.0559191522.

The spelling of 1390137841 in words is "one billion, three hundred ninety million, one hundred thirty-seven thousand, eight hundred forty-one".

Divisors: 1 37 41 43 101 211 1517 1591 1763 3737 4141 4343 7807 8651 9073 21311 65231 153217 160691 178063 320087 335701 371993 788507 873751 916373 6588331 13763741 32328787 33905801 37571293 1390137841