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40399920 = 24325115101
BaseRepresentation
bin1001101000011…
…1010000110000
32211000112021100
42122013100300
540320244140
64001524400
71000252011
oct232072060
984015240
1040399920
1120894070
1211643700
1384a68a2
145519008
153830530
hex2687430

40399920 has 120 divisors (see below), whose sum is σ = 148039632. Its totient is φ = 9792000.

The previous prime is 40399907. The next prime is 40399921. The reversal of 40399920 is 2999304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40399921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5370 + ... + 10470.

Almost surely, 240399920 is an apocalyptic number.

40399920 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 40399920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74019816).

40399920 is an abundant number, since it is smaller than the sum of its proper divisors (107639712).

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

40399920 is a wasteful number, since it uses less digits than its factorization.

40399920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 40399920 is about 6356.0931396574. The cubic root of 40399920 is about 343.1311678348.

The spelling of 40399920 in words is "forty million, three hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 5101 7920 10202 15303 20404 25505 30606 40808 45909 51010 56111 61212 76515 81616 91818 102020 112222 122424 153030 168333 183636 204040 224444 229545 244848 280555 306060 336666 367272 408080 448888 459090 504999 561110 612120 673332 734544 841665 897776 918180 1009998 1122220 1224240 1346664 1683330 1836360 2019996 2244440 2524995 2693328 3366660 3672720 4039992 4488880 5049990 6733320 8079984 10099980 13466640 20199960 40399920