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6454402740 = 2232531237313
BaseRepresentation
bin1100000001011011…
…00101111010110100
3121122211002122001100
412000231211322310
5101204311341430
62544244130100
7315642342462
oct60055457264
917584078040
106454402740
112812384345
121301696930
137bb277726
144532d5832
1527b995960
hex180b65eb4

6454402740 has 108 divisors (see below), whose sum is σ = 20230829892. Its totient is φ = 1665607680.

The previous prime is 6454402687. The next prime is 6454402753. The reversal of 6454402740 is 472044546.

6454402740 is a `hidden beast` number, since 645 + 4 + 4 + 0 + 2 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4943214864 + 1511187876 = 70308^2 + 38874^2 .

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 = 6454402695 and 6454402704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154324 + ... + 191636.

It is an arithmetic number, because the mean of its divisors is an integer number (187322499).

Almost surely, 26454402740 is an apocalyptic number.

6454402740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6454402740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10115414946).

6454402740 is an abundant number, since it is smaller than the sum of its proper divisors (13776427152).

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

6454402740 is a wasteful number, since it uses less digits than its factorization.

6454402740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37390 (or 37354 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 6454402740 is about 80339.2976070864. The cubic root of 6454402740 is about 1861.8814295856.

The spelling of 6454402740 in words is "six billion, four hundred fifty-four million, four hundred two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 961 1116 1395 1860 1922 2790 2883 3844 4805 5580 5766 8649 9610 11532 14415 17298 19220 28830 34596 37313 43245 57660 74626 86490 111939 149252 172980 186565 223878 335817 373130 447756 559695 671634 746260 1119390 1156703 1343268 1679085 2238780 2313406 3358170 3470109 4626812 5783515 6716340 6940218 10410327 11567030 13880436 17350545 20820654 23134060 34701090 35857793 41641308 52051635 69402180 71715586 104103270 107573379 143431172 179288965 208206540 215146758 322720137 358577930 430293516 537866895 645440274 717155860 1075733790 1290880548 1613600685 2151467580 3227201370 6454402740