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1142403504 = 243114794517
BaseRepresentation
bin100010000010111…
…1011000110110000
32221121122002222220
41010011323012300
54314423403004
6305205401040
740211161314
oct10405730660
92847562886
101142403504
11536947730
1227a709180
131528a9508
14aba19b44
156a45edd9
hex4417b1b0

1142403504 has 80 divisors (see below), whose sum is σ = 3226936320. Its totient is φ = 345383680.

The previous prime is 1142403503. The next prime is 1142403511. The reversal of 1142403504 is 4053042411.

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

It is not an unprimeable number, because it can be changed into a prime (1142403503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250654 + ... + 255170.

It is an arithmetic number, because the mean of its divisors is an integer number (40336704).

Almost surely, 21142403504 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 1142403504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613468160).

1142403504 is an abundant number, since it is smaller than the sum of its proper divisors (2084532816).

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

1142403504 is a wasteful number, since it uses less digits than its factorization.

1142403504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1142403504 is about 33799.4601140314. The cubic root of 1142403504 is about 1045.3775652373.

Adding to 1142403504 its reverse (4053042411), we get a palindrome (5195445915).

The spelling of 1142403504 in words is "one billion, one hundred forty-two million, four hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 479 528 958 1437 1916 2874 3832 4517 5269 5748 7664 9034 10538 11496 13551 15807 18068 21076 22992 27102 31614 36136 42152 49687 54204 63228 72272 84304 99374 108408 126456 149061 198748 216816 252912 298122 397496 596244 794992 1192488 2163643 2384976 4327286 6490929 8654572 12981858 17309144 23800073 25963716 34618288 47600146 51927432 71400219 95200292 103854864 142800438 190400584 285600876 380801168 571201752 1142403504