Search a number
-
+
54665940 = 22357235659
BaseRepresentation
bin1101000010001…
…0001011010100
310210212022120110
43100202023110
5102443302230
65231403020
71232436630
oct320421324
9123768513
1054665940
112894836a
1216383470
13b430114
14738ddc0
154bec4b0
hex34222d4

54665940 has 96 divisors (see below), whose sum is σ = 182568960. Its totient is φ = 11949696.

The previous prime is 54665929. The next prime is 54665951. The reversal of 54665940 is 4956645.

It is an interprime number because it is at equal distance from previous prime (54665929) and next prime (54665951).

It is a congruent number.

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, 6831 + ... + 12489.

It is an arithmetic number, because the mean of its divisors is an integer number (1901760).

Almost surely, 254665940 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 54665940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91284480).

54665940 is an abundant number, since it is smaller than the sum of its proper divisors (127903020).

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

54665940 is a wasteful number, since it uses less digits than its factorization.

54665940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 54665940 is about 7393.6418631146. The cubic root of 54665940 is about 379.5237338931.

The spelling of 54665940 in words is "fifty-four million, six hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 5659 9660 11318 16977 22636 28295 33954 39613 56590 67908 79226 84885 113180 118839 130157 158452 169770 198065 237678 260314 339540 390471 396130 475356 520628 594195 650785 780942 792260 911099 1188390 1301570 1561884 1822198 1952355 2376780 2603140 2733297 3644396 3904710 4555495 5466594 7809420 9110990 10933188 13666485 18221980 27332970 54665940