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1383550740 = 223351113192341
BaseRepresentation
bin101001001110111…
…0100111100010100
310120102101122211000
41102131310330110
510313142110430
6345142143300
746166662425
oct12235647424
93512348730
101383550740
1164aa84170
12327421b30
1319083c5a0
14d1a6d64c
15816e5e60
hex52774f14

1383550740 has 768 divisors, whose sum is σ = 5689958400. Its totient is φ = 273715200.

The previous prime is 1383550709. The next prime is 1383550741. The reversal of 1383550740 is 470553831.

1383550740 is a `hidden beast` number, since 1 + 38 + 3 + 550 + 74 + 0 = 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 = 1383550695 and 1383550704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383550741) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33745120 + ... + 33745160.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 21383550740 is an apocalyptic number.

1383550740 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 1383550740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844979200).

1383550740 is an abundant number, since it is smaller than the sum of its proper divisors (4306407660).

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

1383550740 is a wasteful number, since it uses less digits than its factorization.

1383550740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1383550740 is about 37196.1118935837. Note that the first 3 decimals coincide. The cubic root of 1383550740 is about 1114.2903351457.

The spelling of 1383550740 in words is "one billion, three hundred eighty-three million, five hundred fifty thousand, seven hundred forty".