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1370021328 = 2432133791931
BaseRepresentation
bin101000110101000…
…1101110111010000
310112110221021221200
41101222031313100
510301211140303
6343540151200
745643663164
oct12152156720
93473837850
101370021328
11643383335
12322998500
1318aab3410
14cdd4aca4
15804223a3
hex51a8ddd0

1370021328 has 120 divisors (see below), whose sum is σ = 4142130720. Its totient is φ = 420215040.

The previous prime is 1370021309. The next prime is 1370021329. The reversal of 1370021328 is 8231200731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370021329) 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, 708523 + ... + 710453.

It is an arithmetic number, because the mean of its divisors is an integer number (34517756).

Almost surely, 21370021328 is an apocalyptic number.

1370021328 is a gapful number since it is divisible by the number (18) 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 1370021328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071065360).

1370021328 is an abundant number, since it is smaller than the sum of its proper divisors (2772109392).

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

1370021328 is a wasteful number, since it uses less digits than its factorization.

1370021328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1370021328 is about 37013.7991565308. The cubic root of 1370021328 is about 1110.6463048875.

The spelling of 1370021328 in words is "one billion, three hundred seventy million, twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 379 468 624 758 936 1137 1516 1872 1931 2274 3032 3411 3862 4548 4927 5793 6064 6822 7724 9096 9854 11586 13644 14781 15448 17379 18192 19708 23172 25103 27288 29562 30896 34758 39416 44343 46344 50206 54576 59124 69516 75309 78832 88686 92688 100412 118248 139032 150618 177372 200824 225927 236496 278064 301236 354744 401648 451854 602472 709488 731849 903708 1204944 1463698 1807416 2195547 2927396 3614832 4391094 5854792 6586641 8782188 9514037 11709584 13173282 17564376 19028074 26346564 28542111 35128752 38056148 52693128 57084222 76112296 85626333 105386256 114168444 152224592 171252666 228336888 342505332 456673776 685010664 1370021328