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1386276640 = 255721511171
BaseRepresentation
bin101001010100000…
…1110011100100000
310120121112011001021
41102220032130200
510314341323030
6345320415224
746232104600
oct12250163440
93517464037
101386276640
11651576181
12328317514
13191285248
14d217cc00
1581a8397a
hex52a0e720

1386276640 has 144 divisors (see below), whose sum is σ = 3838290624. Its totient is φ = 471744000.

The previous prime is 1386276637. The next prime is 1386276653. The reversal of 1386276640 is 466726831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183255 + ... + 1184425.

It is an arithmetic number, because the mean of its divisors is an integer number (26654796).

Almost surely, 21386276640 is an apocalyptic number.

1386276640 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 1386276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919145312).

1386276640 is an abundant number, since it is smaller than the sum of its proper divisors (2452013984).

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

1386276640 is a wasteful number, since it uses less digits than its factorization.

1386276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 1386276640 is about 37232.7361336768. The cubic root of 1386276640 is about 1115.0216542813.

The spelling of 1386276640 in words is "one billion, three hundred eighty-six million, two hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 151 160 196 224 245 280 302 392 490 560 604 755 784 980 1057 1120 1171 1208 1510 1568 1960 2114 2342 2416 3020 3920 4228 4684 4832 5285 5855 6040 7399 7840 8197 8456 9368 10570 11710 12080 14798 16394 16912 18736 21140 23420 24160 29596 32788 33824 36995 37472 40985 42280 46840 57379 59192 65576 73990 81970 84560 93680 114758 118384 131152 147980 163940 169120 176821 187360 229516 236768 262304 286895 295960 327880 353642 459032 573790 591920 655760 707284 884105 918064 1147580 1183840 1237747 1311520 1414568 1768210 1836128 2295160 2475494 2829136 3536420 4590320 4950988 5658272 6188735 7072840 8664229 9180640 9901976 12377470 14145680 17328458 19803952 24754940 28291360 34656916 39607904 43321145 49509880 69313832 86642290 99019760 138627664 173284580 198039520 277255328 346569160 693138320 1386276640