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40546020 = 223517127313
BaseRepresentation
bin1001101010101…
…0111011100100
32211021221200110
42122222323210
540334433040
64005013020
71001430654
oct232527344
984257613
1040546020
1120983909
12116b4170
138528238
145556364
15385d980
hex26aaee4

40546020 has 96 divisors (see below), whose sum is σ = 121540608. Its totient is φ = 10063872.

The previous prime is 40546001. The next prime is 40546021. The reversal of 40546020 is 2064504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40546021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129384 + ... + 129696.

It is an arithmetic number, because the mean of its divisors is an integer number (1266048).

Almost surely, 240546020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40546020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60770304).

40546020 is an abundant number, since it is smaller than the sum of its proper divisors (80994588).

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

40546020 is a wasteful number, since it uses less digits than its factorization.

40546020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40546020 is about 6367.5756768177. The cubic root of 40546020 is about 343.5442969852.

The spelling of 40546020 in words is "forty million, five hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 127 170 204 254 255 313 340 381 508 510 626 635 762 939 1020 1252 1270 1524 1565 1878 1905 2159 2540 3130 3756 3810 4318 4695 5321 6260 6477 7620 8636 9390 10642 10795 12954 15963 18780 21284 21590 25908 26605 31926 32385 39751 43180 53210 63852 64770 79502 79815 106420 119253 129540 159004 159630 198755 238506 319260 397510 477012 596265 675767 795020 1192530 1351534 2027301 2385060 2703068 3378835 4054602 6757670 8109204 10136505 13515340 20273010 40546020