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40194720 = 25325103271
BaseRepresentation
bin1001100101010…
…1001010100000
32210122002210100
42121111022200
540242212340
63553302400
7665435526
oct231251240
983562710
1040194720
1120763985
1211564a00
138434377
1454a4316
1537de830
hex26552a0

40194720 has 144 divisors (see below), whose sum is σ = 139007232. Its totient is φ = 10575360.

The previous prime is 40194689. The next prime is 40194727. The reversal of 40194720 is 2749104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (40194727) 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, 148185 + ... + 148455.

It is an arithmetic number, because the mean of its divisors is an integer number (965328).

Almost surely, 240194720 is an apocalyptic number.

40194720 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 40194720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69503616).

40194720 is an abundant number, since it is smaller than the sum of its proper divisors (98812512).

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

40194720 is a wasteful number, since it uses less digits than its factorization.

40194720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

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

The square root of 40194720 is about 6339.9305989892. The cubic root of 40194720 is about 342.5492354672.

The spelling of 40194720 in words is "forty million, one hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 271 288 309 360 412 480 515 542 618 720 813 824 927 1030 1084 1236 1355 1440 1545 1626 1648 1854 2060 2168 2439 2472 2710 3090 3252 3296 3708 4065 4120 4336 4635 4878 4944 5420 6180 6504 7416 8130 8240 8672 9270 9756 9888 10840 12195 12360 13008 14832 16260 16480 18540 19512 21680 24390 24720 26016 27913 29664 32520 37080 39024 43360 48780 49440 55826 65040 74160 78048 83739 97560 111652 130080 139565 148320 167478 195120 223304 251217 279130 334956 390240 418695 446608 502434 558260 669912 837390 893216 1004868 1116520 1256085 1339824 1674780 2009736 2233040 2512170 2679648 3349560 4019472 4466080 5024340 6699120 8038944 10048680 13398240 20097360 40194720