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1377374976 = 28331011973
BaseRepresentation
bin101001000011001…
…0001001100000000
310112222202220021000
41102012101030000
510310101444401
6344401532000
746063331325
oct12206211400
93488686230
101377374976
1164754622a
12325344000
1318c4895a3
14d0d02b4c
1580dc6186
hex52191300

1377374976 has 144 divisors (see below), whose sum is σ = 4115553120. Its totient is φ = 454348800.

The previous prime is 1377374963. The next prime is 1377374989. The reversal of 1377374976 is 6794737731.

It is an interprime number because it is at equal distance from previous prime (1377374963) and next prime (1377374989).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13773749762 = 3794323649022001152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697126 + ... + 699098.

It is an arithmetic number, because the mean of its divisors is an integer number (28580230).

Almost surely, 21377374976 is an apocalyptic number.

1377374976 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 1377374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057776560).

1377374976 is an abundant number, since it is smaller than the sum of its proper divisors (2738178144).

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

1377374976 is a wasteful number, since it uses less digits than its factorization.

1377374976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2079 counting only the distinct ones).

The product of its digits is 4667544, while the sum is 54.

The square root of 1377374976 is about 37113.0027887801. The cubic root of 1377374976 is about 1112.6299072473.

The spelling of 1377374976 in words is "one billion, three hundred seventy-seven million, three hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 256 288 303 384 404 432 576 606 768 808 864 909 1152 1212 1616 1728 1818 1973 2304 2424 2727 3232 3456 3636 3946 4848 5454 5919 6464 6912 7272 7892 9696 10908 11838 12928 14544 15784 17757 19392 21816 23676 25856 29088 31568 35514 38784 43632 47352 53271 58176 63136 71028 77568 87264 94704 106542 116352 126272 142056 174528 189408 199273 213084 232704 252544 284112 349056 378816 398546 426168 505088 568224 597819 698112 757632 797092 852336 1136448 1195638 1515264 1594184 1704672 1793457 2272896 2391276 3188368 3409344 3586914 4545792 4782552 5380371 6376736 6818688 7173828 9565104 10760742 12753472 13637376 14347656 19130208 21521484 25506944 28695312 38260416 43042968 51013888 57390624 76520832 86085936 114781248 153041664 172171872 229562496 344343744 459124992 688687488 1377374976