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141602112 = 26321714461
BaseRepresentation
bin10000111000010…
…10110101000000
3100212110010120200
420130022311000
5242222231422
622015005200
73336412101
oct1034126500
9325403520
10141602112
1172a26843
123b509800
132344b642
1414b403a8
15c6712ac
hex870ad40

141602112 has 84 divisors (see below), whose sum is σ = 429781716. Its totient is φ = 44421120.

The previous prime is 141602063. The next prime is 141602119. The reversal of 141602112 is 211206141.

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 89415936 = 7224^2 + 9456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141602119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2562 + ... + 17022.

It is an arithmetic number, because the mean of its divisors is an integer number (5116449).

Almost surely, 2141602112 is an apocalyptic number.

141602112 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 141602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214890858).

141602112 is an abundant number, since it is smaller than the sum of its proper divisors (288179604).

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

141602112 is a wasteful number, since it uses less digits than its factorization.

141602112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14496 (or 14483 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141602112 is about 11899.6685668131. The cubic root of 141602112 is about 521.2226064309. Note that the first 3 decimals are identical.

Adding to 141602112 its reverse (211206141), we get a palindrome (352808253).

It can be divided in two parts, 141 and 602112, that added together give a triangular number (602253 = T1097).

The spelling of 141602112 in words is "one hundred forty-one million, six hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 14461 28922 43383 57844 86766 115688 130149 173532 231376 245837 260298 347064 462752 491674 520596 694128 737511 925504 983348 1041192 1388256 1475022 1966696 2082384 2212533 2776512 2950044 3933392 4164768 4425066 5900088 7866784 8329536 8850132 11800176 15733568 17700264 23600352 35400528 47200704 70801056 141602112