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54314040 = 233511231789
BaseRepresentation
bin1100111100110…
…0010000111000
310210012102212010
43033030100320
5102401022130
65220045520
71226442654
oct317142070
9123172763
1054314040
1128727a40
12162338a0
13b338bb1
1472dba64
154b7d0b0
hex33cc438

54314040 has 128 divisors (see below), whose sum is σ = 185587200. Its totient is φ = 12587520.

The previous prime is 54314033. The next prime is 54314047. The reversal of 54314040 is 4041345.

It is an interprime number because it is at equal distance from previous prime (54314033) and next prime (54314047).

It is a super-2 number, since 2×543140402 = 5900029882243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54313998 and 54314016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54314047) 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, 29466 + ... + 31254.

It is an arithmetic number, because the mean of its divisors is an integer number (1449900).

Almost surely, 254314040 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 54314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92793600).

54314040 is an abundant number, since it is smaller than the sum of its proper divisors (131273160).

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

54314040 is a wasteful number, since it uses less digits than its factorization.

54314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54314040 is about 7369.8059675951. The cubic root of 54314040 is about 378.7076132461.

Adding to 54314040 its reverse (4041345), we get a palindrome (58355385).

The spelling of 54314040 in words is "fifty-four million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 1789 2024 2530 2760 3036 3578 3795 5060 5367 6072 7156 7590 8945 10120 10734 14312 15180 17890 19679 21468 26835 30360 35780 39358 41147 42936 53670 59037 71560 78716 82294 98395 107340 118074 123441 157432 164588 196790 205735 214680 236148 246882 295185 329176 393580 411470 452617 472296 493764 590370 617205 787160 822940 905234 987528 1180740 1234410 1357851 1645880 1810468 2263085 2361480 2468820 2715702 3620936 4526170 4937640 5431404 6789255 9052340 10862808 13578510 18104680 27157020 54314040