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1377137340 = 223257650763
BaseRepresentation
bin101001000010101…
…0111001010111100
310112222022211021200
41102011113022330
510310021343330
6344352455500
746061321445
oct12205271274
93488284250
101377137340
116473a3737
1232524a590
1318c405387
14d0c802cc
1580d7aa60
hex521572bc

1377137340 has 36 divisors (see below), whose sum is σ = 4177317144. Its totient is φ = 367236576.

The previous prime is 1377137291. The next prime is 1377137341. The reversal of 1377137340 is 437317731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1377137295 and 1377137304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377137341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3825202 + ... + 3825561.

Almost surely, 21377137340 is an apocalyptic number.

1377137340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377137340 is an abundant number, since it is smaller than the sum of its proper divisors (2800179804).

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

1377137340 is a wasteful number, since it uses less digits than its factorization.

1377137340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650778 (or 7650773 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 1377137340 is about 37109.8011312376. The cubic root of 1377137340 is about 1112.5659168955.

The spelling of 1377137340 in words is "one billion, three hundred seventy-seven million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7650763 15301526 22952289 30603052 38253815 45904578 68856867 76507630 91809156 114761445 137713734 153015260 229522890 275427468 344284335 459045780 688568670 1377137340