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40404120 = 23351093089
BaseRepresentation
bin1001101000100…
…0010010011000
32211000202000220
42122020102120
540320412440
64002000040
71000300161
oct232102230
984022026
1040404120
1120897239
1211646020
1384a8783
14551a768
1538318d0
hex2688498

40404120 has 64 divisors (see below), whose sum is σ = 122364000. Its totient is φ = 10672128.

The previous prime is 40404101. The next prime is 40404139. The reversal of 40404120 is 2140404.

It is an interprime number because it is at equal distance from previous prime (40404101) and next prime (40404139).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40404120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11536 + ... + 14624.

Almost surely, 240404120 is an apocalyptic number.

40404120 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 40404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61182000).

40404120 is an abundant number, since it is smaller than the sum of its proper divisors (81959880).

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

40404120 is a wasteful number, since it uses less digits than its factorization.

40404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40404120 is about 6356.4235227052. The cubic root of 40404120 is about 343.1430581304.

Adding to 40404120 its reverse (2140404), we get a palindrome (42544524).

The spelling of 40404120 in words is "forty million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3089 3270 4360 6178 6540 9267 12356 13080 15445 18534 24712 30890 37068 46335 61780 74136 92670 123560 185340 336701 370680 673402 1010103 1346804 1683505 2020206 2693608 3367010 4040412 5050515 6734020 8080824 10101030 13468040 20202060 40404120