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140003424 = 25331114731
BaseRepresentation
bin10000101100001…
…00100001100000
3100202102220121000
420112010201200
5241320102144
621520432000
73320003151
oct1026044140
9322386530
10140003424
1172034710
123aa78600
132300ba82
1414845928
15c457769
hex8584860

140003424 has 96 divisors (see below), whose sum is σ = 445495680. Its totient is φ = 42422400.

The previous prime is 140003393. The next prime is 140003429. The reversal of 140003424 is 424300041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140003397 and 140003406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140003429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (4640580).

Almost surely, 2140003424 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 140003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222747840).

140003424 is an abundant number, since it is smaller than the sum of its proper divisors (305492256).

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

140003424 is a wasteful number, since it uses less digits than its factorization.

140003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14761 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 140003424 is about 11832.3042557230. The cubic root of 140003424 is about 519.2536432696.

Adding to 140003424 its reverse (424300041), we get a palindrome (564303465).

It can be divided in two parts, 14000 and 3424, that added together give a square (17424 = 1322).

The spelling of 140003424 in words is "one hundred forty million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 14731 29462 44193 58924 88386 117848 132579 162041 176772 235696 265158 324082 353544 397737 471392 486123 530316 648164 707088 795474 972246 1060632 1296328 1414176 1458369 1590948 1944492 2121264 2592656 2916738 3181896 3888984 4242528 4375107 5185312 5833476 6363792 7777968 8750214 11666952 12727584 15555936 17500428 23333904 35000856 46667808 70001712 140003424