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1465018940 = 2257111950069
BaseRepresentation
bin101011101010010…
…0110101000111100
310210002200200011202
41113110212220330
511000021101230
6401212235032
751206312150
oct12724465074
93702620152
101465018940
11691a68460
1234a76ba78
131a4695018
14dc7d9060
1588939a45
hex57526a3c

1465018940 has 96 divisors (see below), whose sum is σ = 4037644800. Its totient is φ = 432587520.

The previous prime is 1465018937. The next prime is 1465019051. The reversal of 1465018940 is 498105641.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1465018894 and 1465018903.

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, 4226 + ... + 54294.

It is an arithmetic number, because the mean of its divisors is an integer number (42058800).

Almost surely, 21465018940 is an apocalyptic number.

1465018940 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 1465018940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018822400).

1465018940 is an abundant number, since it is smaller than the sum of its proper divisors (2572625860).

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

1465018940 is a wasteful number, since it uses less digits than its factorization.

1465018940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50115 (or 50113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1465018940 is about 38275.5658351382. The cubic root of 1465018940 is about 1135.7456439305.

The spelling of 1465018940 in words is "one billion, four hundred sixty-five million, eighteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 50069 100138 200276 250345 350483 500690 550759 700966 951311 1001380 1101518 1401932 1752415 1902622 2203036 2753795 3504830 3805244 3855313 4756555 5507590 6659177 7009660 7710626 9513110 10464421 11015180 13318354 15421252 19026220 19276565 20928842 26636708 33295885 38553130 41857684 52322105 66591770 73250947 77106260 104644210 133183540 146501894 209288420 293003788 366254735 732509470 1465018940