Search a number
-
+
15435000020 = 22511293317309
BaseRepresentation
bin11100101111111111…
…10110100011010100
31110211200200020112102
432113333312203110
5223102330000040
611031333341232
71054331223026
oct162777664324
943750606472
1015435000020
116600722a70
122ba9197818
1315bc9c340b
14a65cda016
156050dd515
hex397ff68d4

15435000020 has 96 divisors (see below), whose sum is σ = 36695030400. Its totient is φ = 5402073600.

The previous prime is 15435000017. The next prime is 15435000023. The reversal of 15435000020 is 2000053451.

It is an interprime number because it is at equal distance from previous prime (15435000017) and next prime (15435000023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 15434999956 and 15435000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15435000023) 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, 2108126 + ... + 2115434.

It is an arithmetic number, because the mean of its divisors is an integer number (382239900).

Almost surely, 215435000020 is an apocalyptic number.

15435000020 is a gapful number since it is divisible by the number (10) 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 15435000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347515200).

15435000020 is an abundant number, since it is smaller than the sum of its proper divisors (21260030380).

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

15435000020 is a wasteful number, since it uses less digits than its factorization.

15435000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 15435000020 its reverse (2000053451), we get a palindrome (17435053471).

The spelling of 15435000020 in words is "fifteen billion, four hundred thirty-five million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 331 580 638 662 1276 1324 1595 1655 3190 3310 3641 6380 6620 7282 7309 9599 14564 14618 18205 19198 29236 36410 36545 38396 47995 72820 73090 80399 95990 105589 146180 160798 191980 211178 211961 321596 401995 422356 423922 527945 803990 847844 1055890 1059805 1607980 2111780 2119610 2331571 2419279 4239220 4663142 4838558 9326284 9677116 11657855 12096395 23315710 24192790 26612069 46631420 48385580 53224138 70159091 106448276 133060345 140318182 266120690 280636364 350795455 532241380 701590910 771750001 1403181820 1543500002 3087000004 3858750005 7717500010 15435000020