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40147920 = 2433518587
BaseRepresentation
bin1001100100100…
…1101111010000
32210112201121000
42121021233100
540234213140
63552302000
7665152221
oct231115720
983481530
1040147920
11207317aa
1211541900
138418c87
145491248
1537d0a30
hex2649bd0

40147920 has 80 divisors (see below), whose sum is σ = 138294720. Its totient is φ = 10705536.

The previous prime is 40147909. The next prime is 40147927. The reversal of 40147920 is 2974104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401479202 = 3223710960652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40147927) 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, 7134 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (1728684).

Almost surely, 240147920 is an apocalyptic number.

40147920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40147920 is an abundant number, since it is smaller than the sum of its proper divisors (98146800).

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

40147920 is a wasteful number, since it uses less digits than its factorization.

40147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18609 (or 18597 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40147920 is about 6336.2386318699. The cubic root of 40147920 is about 342.4162368199.

The spelling of 40147920 in words is "forty million, one hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 18587 37174 55761 74348 92935 111522 148696 167283 185870 223044 278805 297392 334566 371740 446088 501849 557610 669132 743480 836415 892176 1003698 1115220 1338264 1486960 1672830 2007396 2230440 2509245 2676528 3345660 4014792 4460880 5018490 6691320 8029584 10036980 13382640 20073960 40147920