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1378820976 = 243132315483
BaseRepresentation
bin101001000101111…
…0010001101110000
310120002111100210120
41102023302031300
510310434232401
6344452530240
746111533141
oct12213621560
93502440716
101378820976
11648343675
12325920980
1318c874800
14d119bac8
15810ae836
hex522f2370

1378820976 has 120 divisors (see below), whose sum is σ = 3982173696. Its totient is φ = 410492160.

The previous prime is 1378820941. The next prime is 1378820977. The reversal of 1378820976 is 6790288731.

It is a super-2 number, since 2×13788209762 = 3802294567715185152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378820977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248731 + ... + 254213.

Almost surely, 21378820976 is an apocalyptic number.

1378820976 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 1378820976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991086848).

1378820976 is an abundant number, since it is smaller than the sum of its proper divisors (2603352720).

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

1378820976 is a wasteful number, since it uses less digits than its factorization.

1378820976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 1378820976 is about 37132.4787214643. The cubic root of 1378820976 is about 1113.0191259168.

The spelling of 1378820976 in words is "one billion, three hundred seventy-eight million, eight hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 208 248 312 338 372 403 496 507 624 676 744 806 1014 1209 1352 1488 1612 2028 2418 2704 3224 4056 4836 5239 5483 6448 8112 9672 10478 10966 15717 16449 19344 20956 21932 31434 32898 41912 43864 62868 65796 71279 83824 87728 125736 131592 142558 169973 213837 251472 263184 285116 339946 427674 509919 570232 679892 855348 926627 1019838 1140464 1359784 1710696 1853254 2039676 2209649 2719568 2779881 3421392 3706508 4079352 4419298 5559762 6628947 7413016 8158704 8838596 11119524 13257894 14826032 17677192 22239048 26515788 28725437 35354384 44478096 53031576 57450874 86176311 106063152 114901748 172352622 229803496 344705244 459606992 689410488 1378820976