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1377941500 = 225313223709
BaseRepresentation
bin101001000100001…
…1011011111111100
310120000211200101101
41102020123133330
510310223112000
6344422022444
746101211105
oct12210333774
93500750341
101377941500
116478a2931
12325577a24
1318c627400
14d100d3ac
1580e88e6a
hex5221b7fc

1377941500 has 144 divisors (see below), whose sum is σ = 3405205440. Its totient is φ = 485971200.

The previous prime is 1377941483. The next prime is 1377941567. The reversal of 1377941500 is 51497731.

It is a self number, because there is not a number n which added to its sum of digits gives 1377941500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943146 + ... + 1943854.

It is an arithmetic number, because the mean of its divisors is an integer number (23647260).

Almost surely, 21377941500 is an apocalyptic number.

1377941500 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 1377941500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702602720).

1377941500 is an abundant number, since it is smaller than the sum of its proper divisors (2027263940).

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

1377941500 is a wasteful number, since it uses less digits than its factorization.

1377941500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 1377941500 is about 37120.6344234578. The cubic root of 1377941500 is about 1112.7824305026.

The spelling of 1377941500 in words is "one billion, three hundred seventy-seven million, nine hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 125 130 169 230 250 260 299 325 338 460 500 575 598 650 676 709 845 1150 1196 1300 1418 1495 1625 1690 2300 2836 2875 2990 3250 3380 3545 3887 4225 5750 5980 6500 7090 7475 7774 8450 9217 11500 14180 14950 15548 16307 16900 17725 18434 19435 21125 29900 32614 35450 36868 37375 38870 42250 46085 65228 70900 74750 77740 81535 84500 88625 92170 97175 119821 149500 163070 177250 184340 194350 211991 230425 239642 326140 354500 388700 407675 423982 460850 479284 485875 599105 815350 847964 921700 971750 1059955 1152125 1198210 1630700 1943500 2038375 2119910 2304250 2396420 2755883 2995525 4076750 4239820 4608500 5299775 5511766 5991050 8153500 10599550 11023532 11982100 13779415 14977625 21199100 26498875 27558830 29955250 52997750 55117660 59910500 68897075 105995500 137794150 275588300 344485375 688970750 1377941500