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540993978 = 23473731279
BaseRepresentation
bin100000001111101…
…110100110111010
31101200222100020000
4200033232212322
52101443301403
6125403213430
716256241630
oct4017564672
91350870200
10540993978
11258416868
12131217276
13881091a5
1451bc7350
15327647a3
hex203ee9ba

540993978 has 80 divisors (see below), whose sum is σ = 1390202880. Its totient is φ = 154034784.

The previous prime is 540993953. The next prime is 540993997. The reversal of 540993978 is 879399045.

540993978 is a `hidden beast` number, since 540 + 9 + 9 + 3 + 97 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 422343 + ... + 423621.

It is an arithmetic number, because the mean of its divisors is an integer number (17377536).

Almost surely, 2540993978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540993978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695101440).

540993978 is an abundant number, since it is smaller than the sum of its proper divisors (849208902).

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

540993978 is a wasteful number, since it uses less digits than its factorization.

540993978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 540993978 is about 23259.2772458647. The cubic root of 540993978 is about 814.8246215781.

The spelling of 540993978 in words is "five hundred forty million, nine hundred ninety-three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 373 378 567 746 1119 1134 1279 2238 2558 2611 3357 3837 5222 6714 7674 7833 8953 10071 11511 15666 17906 20142 23022 23499 26859 30213 34533 46998 53718 60426 69066 70497 80577 103599 140994 161154 207198 211491 241731 422982 477067 483462 725193 954134 1431201 1450386 2862402 3339469 4293603 6678938 8587206 10018407 12880809 20036814 25761618 30055221 38642427 60110442 77284854 90165663 180331326 270496989 540993978