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1604398040 = 235710355631
BaseRepresentation
bin101111110100001…
…0010101111011000
311010210221212100122
41133220102233120
511241211214130
6423111452412
754521105210
oct13750225730
94123855318
101604398040
11753705aa3
12389387108
131c751586b
1411311b240
1595cbc2e5
hex5fa12bd8

1604398040 has 64 divisors (see below), whose sum is σ = 4165724160. Its totient is φ = 544728960.

The previous prime is 1604398039. The next prime is 1604398043. The reversal of 1604398040 is 408934061.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604398043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1025 + ... + 56655.

It is an arithmetic number, because the mean of its divisors is an integer number (65089440).

Almost surely, 21604398040 is an apocalyptic number.

1604398040 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 1604398040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082862080).

1604398040 is an abundant number, since it is smaller than the sum of its proper divisors (2561326120).

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

1604398040 is a wasteful number, since it uses less digits than its factorization.

1604398040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55752 (or 55748 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1604398040 is about 40054.9377730137. The cubic root of 1604398040 is about 1170.6777771102.

The spelling of 1604398040 in words is "one billion, six hundred four million, three hundred ninety-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 2060 2884 3605 4120 5768 7210 14420 28840 55631 111262 222524 278155 389417 445048 556310 778834 1112620 1557668 1947085 2225240 3115336 3894170 5729993 7788340 11459986 15576680 22919972 28649965 40109951 45839944 57299930 80219902 114599860 160439804 200549755 229199720 320879608 401099510 802199020 1604398040