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258978540 = 223537116657
BaseRepresentation
bin11110110111110…
…11001011101100
3200001022110202210
433123323023230
51012244303130
641410450420
76263165322
oct1733731354
9601273683
10258978540
11123206457
1272893a10
1341867352
1426575d12
1517b095b0
hexf6fb2ec

258978540 has 48 divisors (see below), whose sum is σ = 744744672. Its totient is φ = 67193856.

The previous prime is 258978529. The next prime is 258978541. The reversal of 258978540 is 45879852.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 258978540.

It is not an unprimeable number, because it can be changed into a prime (258978541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56109 + ... + 60548.

It is an arithmetic number, because the mean of its divisors is an integer number (15515514).

Almost surely, 2258978540 is an apocalyptic number.

258978540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258978540 is an abundant number, since it is smaller than the sum of its proper divisors (485766132).

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

258978540 is a wasteful number, since it uses less digits than its factorization.

258978540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116706 (or 116704 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 258978540 is about 16092.8101958608. The cubic root of 258978540 is about 637.4135030665.

The spelling of 258978540 in words is "two hundred fifty-eight million, nine hundred seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 116657 233314 349971 466628 583285 699942 1166570 1399884 1749855 2333140 3499710 4316309 6999420 8632618 12948927 17265236 21581545 25897854 43163090 51795708 64744635 86326180 129489270 258978540