Search a number
-
+
140802144 = 25371911097
BaseRepresentation
bin10000110010001…
…11100001100000
3100210221111020020
420121013201200
5242021132034
621545513440
73326540610
oct1031074140
9323844206
10140802144
117252a80a
123b1a2880
132322b4a2
14149b2a40
15c564249
hex8647860

140802144 has 96 divisors (see below), whose sum is σ = 425005056. Its totient is φ = 39982080.

The previous prime is 140802107. The next prime is 140802149. The reversal of 140802144 is 441208041.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140802149) 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, 127804 + ... + 128900.

It is an arithmetic number, because the mean of its divisors is an integer number (4427136).

Almost surely, 2140802144 is an apocalyptic number.

140802144 is a gapful number since it is divisible by the number (14) 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 140802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212502528).

140802144 is an abundant number, since it is smaller than the sum of its proper divisors (284202912).

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

140802144 is a wasteful number, since it uses less digits than its factorization.

140802144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 140802144 is about 11866.0079217907. The cubic root of 140802144 is about 520.2392193219.

The spelling of 140802144 in words is "one hundred forty million, eight hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 191 224 336 382 573 672 764 1097 1146 1337 1528 2194 2292 2674 3056 3291 4011 4388 4584 5348 6112 6582 7679 8022 8776 9168 10696 13164 15358 16044 17552 18336 21392 23037 26328 30716 32088 35104 42784 46074 52656 61432 64176 92148 105312 122864 128352 184296 209527 245728 368592 419054 628581 737184 838108 1257162 1466689 1676216 2514324 2933378 3352432 4400067 5028648 5866756 6704864 8800134 10057296 11733512 17600268 20114592 23467024 35200536 46934048 70401072 140802144