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406105542 = 23356913217
BaseRepresentation
bin11000001101001…
…010110111000110
31001022011022002000
4120031022313012
51312430334132
6104144130130
713030561113
oct3015126706
91038138060
10406105542
11199266117
12b4006946
136619b64b
143bd1390a
15259bc87c
hex1834adc6

406105542 has 32 divisors (see below), whose sum is σ = 904111200. Its totient is φ = 135120384.

The previous prime is 406105541. The next prime is 406105543. The reversal of 406105542 is 245501604.

406105542 is a `hidden beast` number, since 4 + 0 + 610 + 5 + 5 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (406105541) and next prime (406105543).

It is a super-2 number, since 2×4061055422 = 329843422486227528, 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 (406105541) 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, 24118 + ... + 37334.

It is an arithmetic number, because the mean of its divisors is an integer number (28253475).

Almost surely, 2406105542 is an apocalyptic number.

406105542 is an abundant number, since it is smaller than the sum of its proper divisors (498005658).

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

406105542 is a wasteful number, since it uses less digits than its factorization.

406105542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13797 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 406105542 is about 20152.0604901831. The cubic root of 406105542 is about 740.5362207957.

The spelling of 406105542 in words is "four hundred six million, one hundred five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 569 1138 1707 3414 5121 10242 13217 15363 26434 30726 39651 79302 118953 237906 356859 713718 7520473 15040946 22561419 45122838 67684257 135368514 203052771 406105542