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5463640 = 2357131979
BaseRepresentation
bin10100110101111001011000
3101021120201001
4110311321120
52344314030
6313034344
764303660
oct24657130
911246631
105463640
1130a1a06
1219b59b4
131193b30
14a231a0
1572dcca
hex535e58

5463640 has 128 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 1617408.

The previous prime is 5463599. The next prime is 5463671. The reversal of 5463640 is 463645.

5463640 is digitally balanced in base 8, 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 (28).

5463640 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 5463599 and 5463608.

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, 69121 + ... + 69199.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 25463640 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 5463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064000).

5463640 is an abundant number, since it is smaller than the sum of its proper divisors (10664360).

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

5463640 is a wasteful number, since it uses less digits than its factorization.

5463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5463640 is about 2337.4430474345. The cubic root of 5463640 is about 176.1275762349.

It can be divided in two parts, 546 and 3640, that added together give a triangular number (4186 = T91).

The spelling of 5463640 in words is "five million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 79 91 95 104 130 133 140 152 158 182 190 247 260 266 280 316 364 380 395 455 494 520 532 553 632 665 728 760 790 910 988 1027 1064 1106 1235 1330 1501 1580 1729 1820 1976 2054 2212 2470 2660 2765 3002 3160 3458 3640 4108 4424 4940 5135 5320 5530 6004 6916 7189 7505 8216 8645 9880 10270 10507 11060 12008 13832 14378 15010 17290 19513 20540 21014 22120 28756 30020 34580 35945 39026 41080 42028 52535 57512 60040 69160 71890 78052 84056 97565 105070 136591 143780 156104 195130 210140 273182 287560 390260 420280 546364 682955 780520 1092728 1365910 2731820 5463640