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4540653540 = 22325293592423
BaseRepresentation
bin1000011101010010…
…01101111111100100
3102201110001002200100
410032221031333210
533244401403130
62030321544100
7220343626653
oct41651157744
912643032610
104540653540
111a20098235
12a687a5030
1357493b957
1431108d19a
151b896dc60
hex10ea4dfe4

4540653540 has 144 divisors (see below), whose sum is σ = 14293843200. Its totient is φ = 1165350144.

The previous prime is 4540653521. The next prime is 4540653553. The reversal of 4540653540 is 453560454.

4540653540 is a `hidden beast` number, since 4 + 54 + 0 + 65 + 3 + 540 = 666.

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 = 4540653495 and 4540653504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1872769 + ... + 1875191.

It is an arithmetic number, because the mean of its divisors is an integer number (99262800).

Almost surely, 24540653540 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 4540653540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146921600).

4540653540 is an abundant number, since it is smaller than the sum of its proper divisors (9753189660).

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

4540653540 is a wasteful number, since it uses less digits than its factorization.

4540653540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4540653540 is about 67384.3716302230. The cubic root of 4540653540 is about 1655.9203954243.

The spelling of 4540653540 in words is "four billion, five hundred forty million, six hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 359 435 522 580 718 870 1044 1077 1305 1436 1740 1795 2154 2423 2610 3231 3590 4308 4846 5220 5385 6462 7180 7269 9692 10411 10770 12115 12924 14538 16155 20822 21540 21807 24230 29076 31233 32310 36345 41644 43614 48460 52055 62466 64620 70267 72690 87228 93699 104110 109035 124932 140534 145380 156165 187398 208220 210801 218070 281068 312330 351335 374796 421602 436140 468495 624660 632403 702670 843204 869857 936990 1054005 1264806 1405340 1739714 1873980 2108010 2529612 2609571 3162015 3479428 4216020 4349285 5219142 6324030 7828713 8698570 10438284 12648060 13047855 15657426 17397140 25225853 26095710 31314852 39143565 50451706 52191420 75677559 78287130 100903412 126129265 151355118 156574260 227032677 252258530 302710236 378387795 454065354 504517060 756775590 908130708 1135163385 1513551180 2270326770 4540653540