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1377640220 = 22511171919387
BaseRepresentation
bin101001000011101…
…0001111100011100
310120000021101002212
41102013101330130
510310133441340
6344411335552
746065514535
oct12207217434
93500241085
101377640220
11647707540
123254515b8
1318c550238
14d0d7168c
1580e29a65
hex521d1f1c

1377640220 has 96 divisors (see below), whose sum is σ = 3517758720. Its totient is φ = 446653440.

The previous prime is 1377640219. The next prime is 1377640241. The reversal of 1377640220 is 220467731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61367 + ... + 80753.

It is an arithmetic number, because the mean of its divisors is an integer number (36643320).

Almost surely, 21377640220 is an apocalyptic number.

1377640220 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 1377640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758879360).

1377640220 is an abundant number, since it is smaller than the sum of its proper divisors (2140118500).

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

1377640220 is a wasteful number, since it uses less digits than its factorization.

1377640220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19443 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 1377640220 is about 37116.5760813144. The cubic root of 1377640220 is about 1112.7013231581.

The spelling of 1377640220 in words is "one billion, three hundred seventy-seven million, six hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 3230 3553 3740 4180 6460 7106 14212 17765 19387 35530 38774 71060 77548 96935 193870 213257 329579 368353 387740 426514 659158 736706 853028 1066285 1318316 1473412 1647895 1841765 2132570 3295790 3625369 3683530 4051883 4265140 6262001 6591580 7250738 7367060 8103766 12524002 14501476 16207532 18126845 20259415 25048004 31310005 36253690 40518830 62620010 68882011 72507380 81037660 125240020 137764022 275528044 344410055 688820110 1377640220