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54530240 = 2652331239
BaseRepresentation
bin1101000000000…
…1000011000000
310210121102102112
43100001003000
5102424431430
65224434452
71231333202
oct320010300
9123542375
1054530240
1128865416
1216318a28
13b3b341b
147356772
154bc2195
hex34010c0

54530240 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 20106240.

The previous prime is 54530239. The next prime is 54530243. The reversal of 54530240 is 4203545.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54530243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228041 + ... + 228279.

Almost surely, 254530240 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 54530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

54530240 is an abundant number, since it is smaller than the sum of its proper divisors (85921600).

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

54530240 is a wasteful number, since it uses less digits than its factorization.

54530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 54530240 is about 7384.4593573260. The cubic root of 54530240 is about 379.2094367618.

Adding to 54530240 its reverse (4203545), we get a palindrome (58733785).

The spelling of 54530240 in words is "fifty-four million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 64 80 92 115 124 155 160 184 230 239 248 310 320 368 460 478 496 620 713 736 920 956 992 1195 1240 1426 1472 1840 1912 1984 2390 2480 2852 3565 3680 3824 4780 4960 5497 5704 7130 7360 7409 7648 9560 9920 10994 11408 14260 14818 15296 19120 21988 22816 27485 28520 29636 37045 38240 43976 45632 54970 57040 59272 74090 76480 87952 109940 114080 118544 148180 170407 175904 219880 228160 237088 296360 340814 351808 439760 474176 592720 681628 852035 879520 1185440 1363256 1704070 1759040 2370880 2726512 3408140 5453024 6816280 10906048 13632560 27265120 54530240