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40379120 = 245717109
BaseRepresentation
bin1001101000001…
…0001011110000
32210222110201222
42122002023300
540314112440
64001244212
71000134245
oct232021360
983873658
1040379120
112087a481
1211633668
13849a292
1455115cc
1538292b5
hex26822f0

40379120 has 40 divisors (see below), whose sum is σ = 95217120. Its totient is φ = 15921920.

The previous prime is 40379117. The next prime is 40379153. The reversal of 40379120 is 2197304.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 40379120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2126 + ... + 9234.

It is an arithmetic number, because the mean of its divisors is an integer number (2380428).

Almost surely, 240379120 is an apocalyptic number.

40379120 is a gapful number since it is divisible by the number (40) 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 40379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47608560).

40379120 is an abundant number, since it is smaller than the sum of its proper divisors (54838000).

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

40379120 is a wasteful number, since it uses less digits than its factorization.

40379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 40379120 is about 6354.4567037631. The cubic root of 40379120 is about 343.0722704121.

The spelling of 40379120 in words is "forty million, three hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 7109 14218 28436 35545 56872 71090 113744 142180 284360 504739 568720 1009478 2018956 2523695 4037912 5047390 8075824 10094780 20189560 40379120