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10542480 = 24351331109
BaseRepresentation
bin101000001101…
…110110010000
3201211121120020
4220031312100
510144324410
61013543440
7155416044
oct50156620
921747506
1010542480
115a507a3
123644b80
132251770
141586024
15dd3a70
hexa0dd90

10542480 has 160 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 2488320.

The previous prime is 10542479. The next prime is 10542491. The reversal of 10542480 is 8424501.

It is a super-2 number, since 2×105424802 = 222287769100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10542480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96666 + ... + 96774.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 210542480 is an apocalyptic number.

10542480 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 10542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

10542480 is an abundant number, since it is smaller than the sum of its proper divisors (26121840).

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

10542480 is a wasteful number, since it uses less digits than its factorization.

10542480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10542480 is about 3246.9185391691. The cubic root of 10542480 is about 219.2708643667.

Adding to 10542480 its reverse (8424501), we get a palindrome (18966981).

The spelling of 10542480 in words is "ten million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 109 120 124 130 155 156 186 195 208 218 240 248 260 310 312 327 372 390 403 436 465 496 520 545 620 624 654 744 780 806 872 930 1040 1090 1209 1240 1308 1417 1488 1560 1612 1635 1744 1860 2015 2180 2418 2480 2616 2834 3120 3224 3270 3379 3720 4030 4251 4360 4836 5232 5668 6045 6448 6540 6758 7085 7440 8060 8502 8720 9672 10137 11336 12090 13080 13516 14170 16120 16895 17004 19344 20274 21255 22672 24180 26160 27032 28340 32240 33790 34008 40548 42510 43927 48360 50685 54064 56680 67580 68016 81096 85020 87854 96720 101370 113360 131781 135160 162192 170040 175708 202740 219635 263562 270320 340080 351416 405480 439270 527124 658905 702832 810960 878540 1054248 1317810 1757080 2108496 2635620 3514160 5271240 10542480