Search a number
-
+
140628400 = 245211311031
BaseRepresentation
bin10000110000111…
…01000110110000
3100210121122220021
420120131012300
5242000102100
621542053224
73325215223
oct1030350660
9323548807
10140628400
1172421220
123b11a214
132319a393
14149695ba
15c52ca1a
hex861d1b0

140628400 has 120 divisors (see below), whose sum is σ = 380832768. Its totient is φ = 49440000.

The previous prime is 140628391. The next prime is 140628409. The reversal of 140628400 is 4826041.

It is an interprime number because it is at equal distance from previous prime (140628391) and next prime (140628409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (140628409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135885 + ... + 136915.

Almost surely, 2140628400 is an apocalyptic number.

140628400 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 140628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190416384).

140628400 is an abundant number, since it is smaller than the sum of its proper divisors (240204368).

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

140628400 is a wasteful number, since it uses less digits than its factorization.

140628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 140628400 is about 11858.6845813522. The cubic root of 140628400 is about 520.0251467129.

The spelling of 140628400 in words is "one hundred forty million, six hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 620 682 775 880 1031 1100 1240 1364 1550 1705 2062 2200 2480 2728 3100 3410 4124 4400 5155 5456 6200 6820 8248 8525 10310 11341 12400 13640 16496 17050 20620 22682 25775 27280 31961 34100 41240 45364 51550 56705 63922 68200 82480 90728 103100 113410 127844 136400 159805 181456 206200 226820 255688 283525 319610 351571 412400 453640 511376 567050 639220 703142 799025 907280 1134100 1278440 1406284 1598050 1757855 2268200 2556880 2812568 3196100 3515710 4536400 5625136 6392200 7031420 8789275 12784400 14062840 17578550 28125680 35157100 70314200 140628400