Search a number
-
+
54666040 = 235111319503
BaseRepresentation
bin1101000010001…
…0001100111000
310210212022201011
43100202030320
5102443303130
65231403304
71232440132
oct320421470
9123768634
1054666040
1128948450
1216383534
13b430190
147390052
154bec52a
hex3422338

54666040 has 128 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 17349120.

The previous prime is 54666023. The next prime is 54666049. The reversal of 54666040 is 4066645.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54665993 and 54666011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54666049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108429 + ... + 108931.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 254666040 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 54666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

54666040 is an abundant number, since it is smaller than the sum of its proper divisors (97743560).

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

54666040 is a wasteful number, since it uses less digits than its factorization.

54666040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 54666040 is about 7393.6486256787. The cubic root of 54666040 is about 379.5239653130.

The spelling of 54666040 in words is "fifty-four million, six hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 503 520 572 715 760 836 988 1006 1045 1144 1235 1430 1672 1976 2012 2090 2470 2515 2717 2860 4024 4180 4940 5030 5434 5533 5720 6539 8360 9557 9880 10060 10868 11066 13078 13585 19114 20120 21736 22132 26156 27170 27665 32695 38228 44264 47785 52312 54340 55330 65390 71929 76456 95570 105127 108680 110660 124241 130780 143858 191140 210254 221320 248482 261560 287716 359645 382280 420508 496964 525635 575432 621205 719290 841016 993928 1051270 1242410 1366651 1438580 2102540 2484820 2733302 2877160 4205080 4969640 5466604 6833255 10933208 13666510 27333020 54666040