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1381463640 = 233351279133
BaseRepresentation
bin101001001010111…
…0111011001011000
310120021110121212000
41102111313121120
510312123314030
6345025321000
746143150534
oct12225673130
93507417760
101381463640
11649889097
12326796160
1319028b60b
14d1688bc4
1581432860
hex52577658

1381463640 has 64 divisors (see below), whose sum is σ = 4604882400. Its totient is φ = 368390016.

The previous prime is 1381463591. The next prime is 1381463641. The reversal of 1381463640 is 463641831.

It is a happy number.

1381463640 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 4 + 6 + 3 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1381463595 and 1381463604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381463641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638487 + ... + 640646.

Almost surely, 21381463640 is an apocalyptic number.

1381463640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381463640 is an abundant number, since it is smaller than the sum of its proper divisors (3223418760).

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

1381463640 is a wasteful number, since it uses less digits than its factorization.

1381463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279153 (or 1279143 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1381463640 is about 37168.0459534800. The cubic root of 1381463640 is about 1113.7297471631.

The spelling of 1381463640 in words is "one billion, three hundred eighty-one million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1279133 2558266 3837399 5116532 6395665 7674798 10233064 11512197 12791330 15349596 19186995 23024394 25582660 30699192 34536591 38373990 46048788 51165320 57560985 69073182 76747980 92097576 115121970 138146364 153495960 172682955 230243940 276292728 345365910 460487880 690731820 1381463640