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54994140 = 2234583409
BaseRepresentation
bin1101000111001…
…0010011011100
310211110222210000
43101302103130
5103034303030
65242414300
71235304525
oct321622334
9124428700
1054994140
1129051a03
1216501390
13b516616
14743784c
154c64860
hex34724dc

54994140 has 120 divisors (see below), whose sum is σ = 175024080. Its totient is φ = 14452992.

The previous prime is 54994103. The next prime is 54994141. The reversal of 54994140 is 4149945.

It is a happy number.

54994140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54994095 and 54994104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54994141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134256 + ... + 134664.

It is an arithmetic number, because the mean of its divisors is an integer number (1458534).

Almost surely, 254994140 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 54994140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87512040).

54994140 is an abundant number, since it is smaller than the sum of its proper divisors (120029940).

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

54994140 is a wasteful number, since it uses less digits than its factorization.

54994140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54994140 is about 7415.8033954522. The cubic root of 54994140 is about 380.2817393531.

The spelling of 54994140 in words is "fifty-four million, nine hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 409 415 498 540 747 810 818 830 996 1227 1245 1494 1620 1636 1660 2045 2241 2454 2490 2988 3681 3735 4090 4482 4908 4980 6135 6723 7362 7470 8180 8964 11043 11205 12270 13446 14724 14940 18405 22086 22410 24540 26892 33129 33615 33947 36810 44172 44820 55215 66258 67230 67894 73620 101841 110430 132516 134460 135788 165645 169735 203682 220860 305523 331290 339470 407364 509205 611046 662580 678940 916569 1018410 1222092 1527615 1833138 2036820 2749707 3055230 3666276 4582845 5499414 6110460 9165690 10998828 13748535 18331380 27497070 54994140