Search a number
-
+
140458752 = 283372903
BaseRepresentation
bin10000101111100…
…11101100000000
3100210022001012000
420113303230000
5241424140002
621534304000
73323610510
oct1027635400
9323261160
10140458752
1172315815
123b058000
132313b0b5
1414923840
15c4e761c
hex85f3b00

140458752 has 144 divisors (see below), whose sum is σ = 474862080. Its totient is φ = 40117248.

The previous prime is 140458751. The next prime is 140458819. The reversal of 140458752 is 257854041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1404587522 = 39457322026795008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140458751) 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, 46933 + ... + 49835.

Almost surely, 2140458752 is an apocalyptic number.

140458752 is a gapful number since it is divisible by the number (12) 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 140458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237431040).

140458752 is an abundant number, since it is smaller than the sum of its proper divisors (334403328).

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

140458752 is an equidigital number, since it uses as much as digits as its factorization.

140458752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 140458752 is about 11851.5295215428. The cubic root of 140458752 is about 519.8159506442.

The spelling of 140458752 in words is "one hundred forty million, four hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 2903 3024 3456 4032 5376 5806 6048 6912 8064 8709 11612 12096 16128 17418 20321 23224 24192 26127 34836 40642 46448 48384 52254 60963 69672 78381 81284 92896 104508 121926 139344 156762 162568 182889 185792 209016 243852 278688 313524 325136 365778 371584 418032 487704 548667 557376 627048 650272 731556 743168 836064 975408 1097334 1114752 1254096 1300544 1463112 1672128 1950816 2194668 2229504 2508192 2601088 2926224 3344256 3901632 4389336 5016384 5202176 5852448 6688512 7803264 8778672 10032768 11704896 15606528 17557344 20065536 23409792 35114688 46819584 70229376 140458752