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46116540 = 223653163
BaseRepresentation
bin1010111111101…
…0111010111100
310012202222000000
42233322322330
543301212130
64324234300
71066661361
oct257727274
9105688000
1046116540
1124039048
121353b990
1397288c2
1461a6468
1540ae260
hex2bfaebc

46116540 has 84 divisors (see below), whose sum is σ = 145246584. Its totient is φ = 12293856.

The previous prime is 46116527. The next prime is 46116589. The reversal of 46116540 is 4561164.

46116540 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 654 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12999 + ... + 16161.

It is an arithmetic number, because the mean of its divisors is an integer number (1729126).

Almost surely, 246116540 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 46116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72623292).

46116540 is an abundant number, since it is smaller than the sum of its proper divisors (99130044).

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

46116540 is a wasteful number, since it uses less digits than its factorization.

46116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46116540 is about 6790.9159912342. The cubic root of 46116540 is about 358.6071177254.

It can be divided in two parts, 46116 and 540, that added together give a 6-th power (46656 = 66).

The spelling of 46116540 in words is "forty-six million, one hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3163 3645 4860 6326 7290 9489 12652 14580 15815 18978 28467 31630 37956 47445 56934 63260 85401 94890 113868 142335 170802 189780 256203 284670 341604 427005 512406 569340 768609 854010 1024812 1281015 1537218 1708020 2305827 2562030 3074436 3843045 4611654 5124060 7686090 9223308 11529135 15372180 23058270 46116540