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15340005240 = 23357101180811
BaseRepresentation
bin11100100100101010…
…11110011101111000
31110121001221000012020
432102111132131320
5222404020131430
611014101314440
71052065615230
oct162225363570
943531830166
1015340005240
11656203aa8a
122b81405a20
1315a6112ba1
14a5744ccc0
155ebac6b10
hex39255e778

15340005240 has 128 divisors (see below), whose sum is σ = 53115333120. Its totient is φ = 3471552000.

The previous prime is 15340005211. The next prime is 15340005293. The reversal of 15340005240 is 4250004351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15340005240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5566 + ... + 175245.

It is an arithmetic number, because the mean of its divisors is an integer number (414963540).

Almost surely, 215340005240 is an apocalyptic number.

15340005240 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 15340005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557666560).

15340005240 is an abundant number, since it is smaller than the sum of its proper divisors (37775327880).

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

15340005240 is a wasteful number, since it uses less digits than its factorization.

15340005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180933 (or 180929 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 15340005240 its reverse (4250004351), we get a palindrome (19590009591).

The spelling of 15340005240 in words is "fifteen billion, three hundred forty million, five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 2020 2121 2424 2828 3030 3535 4040 4242 5656 6060 7070 8484 10605 12120 14140 16968 21210 28280 42420 84840 180811 361622 542433 723244 904055 1084866 1265677 1446488 1808110 2169732 2531354 2712165 3616220 3797031 4339464 5062708 5424330 6328385 7232440 7594062 10125416 10848660 12656770 15188124 18261911 18985155 21697320 25313540 30376248 36523822 37970310 50627080 54785733 73047644 75940620 91309555 109571466 127833377 146095288 151881240 182619110 219142932 255666754 273928665 365238220 383500131 438285864 511333508 547857330 639166885 730476440 767000262 1022667016 1095714660 1278333770 1534000524 1917500655 2191429320 2556667540 3068001048 3835001310 5113335080 7670002620 15340005240