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141692148 = 2232132771093
BaseRepresentation
bin10000111001000…
…00110011110100
3100212121201002100
420130200303310
5242233122043
622020542100
73340235433
oct1034406364
9325551070
10141692148
1172a88454
123b551930
1323480610
1414b6511a
15c68ccd3
hex8720cf4

141692148 has 72 divisors (see below), whose sum is σ = 387464168. Its totient is φ = 43400448.

The previous prime is 141692141. The next prime is 141692153. The reversal of 141692148 is 841296141.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 124947684 = 4092^2 + 11178^2 .

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 (141692141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129090 + ... + 130182.

Almost surely, 2141692148 is an apocalyptic number.

141692148 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 141692148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193732084).

141692148 is an abundant number, since it is smaller than the sum of its proper divisors (245772020).

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

141692148 is a wasteful number, since it uses less digits than its factorization.

141692148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1388 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 141692148 is about 11903.4510962158. The cubic root of 141692148 is about 521.3330540673. Note that the first 3 decimals are identical.

The spelling of 141692148 in words is "one hundred forty-one million, six hundred ninety-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 277 468 554 831 1093 1108 1662 2186 2493 3279 3324 3601 4372 4986 6558 7202 9837 9972 10803 13116 14209 14404 19674 21606 28418 32409 39348 42627 43212 56836 64818 85254 127881 129636 170508 255762 302761 511524 605522 908283 1211044 1816566 2724849 3633132 3935893 5449698 7871786 10899396 11807679 15743572 23615358 35423037 47230716 70846074 141692148