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1377750040 = 2351719106637
BaseRepresentation
bin101001000011110…
…1100110000011000
310120000110221202021
41102013230300120
510310201000130
6344413544224
746066452652
oct12207546030
93500427667
101377750040
11647781aa7
123254a5074
1318c58b214
14d0d9d6d2
1580e4c37a
hex521ecc18

1377750040 has 64 divisors (see below), whose sum is σ = 3455071200. Its totient is φ = 491378688.

The previous prime is 1377750037. The next prime is 1377750053. The reversal of 1377750040 is 400577731.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1377749978 and 1377750005.

It is a congruent number.

It is an unprimeable number.

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, 40399 + ... + 66238.

Almost surely, 21377750040 is an apocalyptic number.

1377750040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377750040 is an abundant number, since it is smaller than the sum of its proper divisors (2077321160).

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

1377750040 is a wasteful number, since it uses less digits than its factorization.

1377750040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106684 (or 106680 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

The square root of 1377750040 is about 37118.0554447563. The cubic root of 1377750040 is about 1112.7308890807.

The spelling of 1377750040 in words is "one billion, three hundred seventy-seven million, seven hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 106637 213274 426548 533185 853096 1066370 1812829 2026103 2132740 3625658 4052206 4265480 7251316 8104412 9064145 10130515 14502632 16208824 18128290 20261030 34443751 36256580 40522060 68887502 72513160 81044120 137775004 172218755 275550008 344437510 688875020 1377750040