Search a number
-
+
11420003400 = 23352131464103
BaseRepresentation
bin10101010001010111…
…10110110001001000
31002110212202021120220
422220223312301020
5141342010102100
65125110150040
7552666266361
oct125053666110
932425667526
1011420003400
114930326643
122268652320
1310ccc50a80
147a49a0b68
1546c8a4aa0
hex2a8af6c48

11420003400 has 96 divisors (see below), whose sum is σ = 38125268160. Its totient is φ = 2811075840.

The previous prime is 11420003383. The next prime is 11420003411. The reversal of 11420003400 is 430002411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11420003400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724252 + ... + 739851.

It is an arithmetic number, because the mean of its divisors is an integer number (397138210).

Almost surely, 211420003400 is an apocalyptic number.

11420003400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11420003400 is an abundant number, since it is smaller than the sum of its proper divisors (26705264760).

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

11420003400 is a wasteful number, since it uses less digits than its factorization.

11420003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464135 (or 1464126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11420003400 its reverse (430002411), we get a palindrome (11850005811).

The spelling of 11420003400 in words is "eleven billion, four hundred twenty million, three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 1464103 2928206 4392309 5856412 7320515 8784618 11712824 14641030 17569236 19033339 21961545 29282060 35138472 36602575 38066678 43923090 57100017 58564120 73205150 76133356 87846180 95166695 109807725 114200034 146410300 152266712 175692360 190333390 219615450 228400068 285500085 292820600 380666780 439230900 456800136 475833475 571000170 761333560 878461800 951666950 1142000340 1427500425 1903333900 2284000680 2855000850 3806667800 5710001700 11420003400