Search a number
-
+
140156928 = 213321901
BaseRepresentation
bin10000101101010…
…10000000000000
3100202201201011100
420112222000000
5241340010203
621524014400
73321212532
oct1026520000
9322651140
10140156928
1172129a7a
123ab31400
13230638c2
1414885852
15c487ea3
hex85aa000

140156928 has 84 divisors (see below), whose sum is σ = 405086058. Its totient is φ = 46694400.

The previous prime is 140156903. The next prime is 140156953. The reversal of 140156928 is 829651041.

It is an interprime number because it is at equal distance from previous prime (140156903) and next prime (140156953).

It can be written as a sum of positive squares in only one way, i.e., 137170944 + 2985984 = 11712^2 + 1728^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 140156892 and 140156901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72778 + ... + 74678.

Almost surely, 2140156928 is an apocalyptic number.

140156928 is a gapful number since it is divisible by the number (18) 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 140156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202543029).

140156928 is an abundant number, since it is smaller than the sum of its proper divisors (264929130).

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

140156928 is an equidigital number, since it uses as much as digits as its factorization.

140156928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 140156928 is about 11838.7891272714. The cubic root of 140156928 is about 519.4433491008.

The spelling of 140156928 in words is "one hundred forty million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1901 2048 2304 3072 3802 4096 4608 5703 6144 7604 8192 9216 11406 12288 15208 17109 18432 22812 24576 30416 34218 36864 45624 60832 68436 73728 91248 121664 136872 182496 243328 273744 364992 486656 547488 729984 973312 1094976 1459968 1946624 2189952 2919936 3893248 4379904 5839872 7786496 8759808 11679744 15572992 17519616 23359488 35039232 46718976 70078464 140156928