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1390880320 = 26537791487
BaseRepresentation
bin101001011100111…
…0010011001000000
310120221012001002221
41102321302121000
510322031132240
6350003220424
746316200444
oct12271623100
93527161087
101390880320
1165412aa75
12329977714
1319220780b
14d2a1a824
1582192a4a
hex52e72640

1390880320 has 112 divisors (see below), whose sum is σ = 3446922240. Its totient is φ = 534104064.

The previous prime is 1390880261. The next prime is 1390880327. The reversal of 1390880320 is 230880931.

It is not an unprimeable number, because it can be changed into a prime (1390880327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934617 + ... + 936103.

Almost surely, 21390880320 is an apocalyptic number.

1390880320 is a gapful number since it is divisible by the number (10) 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 1390880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723461120).

1390880320 is an abundant number, since it is smaller than the sum of its proper divisors (2056041920).

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

1390880320 is a wasteful number, since it uses less digits than its factorization.

1390880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1390880320 is about 37294.5079066610. The cubic root of 1390880320 is about 1116.2545806503.

The spelling of 1390880320 in words is "one billion, three hundred ninety million, eight hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 79 80 148 158 160 185 296 316 320 370 395 592 632 740 790 1184 1264 1480 1487 1580 2368 2528 2923 2960 2974 3160 5056 5846 5920 5948 6320 7435 11692 11840 11896 12640 14615 14870 23384 23792 25280 29230 29740 46768 47584 55019 58460 59480 93536 95168 110038 116920 117473 118960 187072 220076 233840 234946 237920 275095 440152 467680 469892 475840 550190 587365 880304 935360 939784 1100380 1174730 1760608 1879568 2200760 2349460 3521216 3759136 4346501 4401520 4698920 7518272 8693002 8803040 9397840 17386004 17606080 18795680 21732505 34772008 37591360 43465010 69544016 86930020 139088032 173860040 278176064 347720080 695440160 1390880320