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10542740 = 22513234143
BaseRepresentation
bin101000001101…
…111010010100
3201211121220212
4220031322110
510144331430
61013544552
7155416565
oct50157224
921747825
1010542740
115a50a0a
123645158
132251910
14158616c
15dd3b95
hexa0de94

10542740 has 96 divisors (see below), whose sum is σ = 26078976. Its totient is φ = 3548160.

The previous prime is 10542709. The next prime is 10542751. The reversal of 10542740 is 4724501.

It is a super-2 number, since 2×105427402 = 222298733415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245159 + ... + 245201.

It is an arithmetic number, because the mean of its divisors is an integer number (271656).

Almost surely, 210542740 is an apocalyptic number.

10542740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039488).

10542740 is an abundant number, since it is smaller than the sum of its proper divisors (15536236).

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

10542740 is a wasteful number, since it uses less digits than its factorization.

10542740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 10542740 is about 3246.9585768839. The cubic root of 10542740 is about 219.2726669140.

The spelling of 10542740 in words is "ten million, five hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 41 43 46 52 65 82 86 92 115 130 164 172 205 215 230 260 299 410 430 460 533 559 598 820 860 943 989 1066 1118 1196 1495 1763 1886 1978 2132 2236 2665 2795 2990 3526 3772 3956 4715 4945 5330 5590 5980 7052 8815 9430 9890 10660 11180 12259 12857 17630 18860 19780 22919 24518 25714 35260 40549 45838 49036 51428 61295 64285 81098 91676 114595 122590 128570 162196 202745 229190 245180 257140 405490 458380 527137 810980 1054274 2108548 2635685 5271370 10542740