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1390220496 = 2436717027
BaseRepresentation
bin101001011011101…
…0001010011010000
310120212221112000000
41102313101103100
510321344023441
6345541130000
746310451660
oct12267212320
93525845000
101390220496
1165381a265
123296b9900
131920363a2
14d28c81a0
15820b22b6
hex52dd14d0

1390220496 has 140 divisors (see below), whose sum is σ = 4615677792. Its totient is φ = 397182528.

The previous prime is 1390220471. The next prime is 1390220537. The reversal of 1390220496 is 6940220931.

1390220496 is a `hidden beast` number, since 1 + 390 + 220 + 49 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1390220496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 73135 + ... + 90161.

Almost surely, 21390220496 is an apocalyptic number.

1390220496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390220496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307838896).

1390220496 is an abundant number, since it is smaller than the sum of its proper divisors (3225457296).

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

1390220496 is an equidigital number, since it uses as much as digits as its factorization.

1390220496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17060 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1390220496 is about 37285.6607290256. The cubic root of 1390220496 is about 1116.0780382474.

The spelling of 1390220496 in words is "one billion, three hundred ninety million, two hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 17027 20412 27216 34054 40824 51081 68108 81648 102162 119189 136216 153243 204324 238378 272432 306486 357567 408648 459729 476756 612972 715134 817296 919458 953512 1072701 1225944 1379187 1430268 1838916 1907024 2145402 2451888 2758374 2860536 3218103 3677832 4137561 4290804 5516748 5721072 6436206 7355664 8275122 8581608 9654309 11033496 12412683 12872412 16550244 17163216 19308618 22066992 24825366 25744824 28962927 33100488 38617236 49650732 51489648 57925854 66200976 77234472 86888781 99301464 115851708 154468944 173777562 198602928 231703416 347555124 463406832 695110248 1390220496