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141117690 = 23575691181
BaseRepresentation
bin10000110100101…
…00100011111010
3100211112112002010
420122110203322
5242111231230
622000350350
73332323560
oct1032244372
9324475063
10141117690
117272589a
123b3153b6
132330bcbc
1414a55a30
15c5c79b0
hex86948fa

141117690 has 64 divisors (see below), whose sum is σ = 388074240. Its totient is φ = 32171520.

The previous prime is 141117689. The next prime is 141117703. The reversal of 141117690 is 96711141.

It is a super-2 number, since 2×1411176902 = 39828404861872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118900 + ... + 120080.

It is an arithmetic number, because the mean of its divisors is an integer number (6063660).

Almost surely, 2141117690 is an apocalyptic number.

141117690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141117690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194037120).

141117690 is an abundant number, since it is smaller than the sum of its proper divisors (246956550).

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

141117690 is a wasteful number, since it uses less digits than its factorization.

141117690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767.

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 141117690 is about 11879.2966963537. The cubic root of 141117690 is about 520.6275584058.

The spelling of 141117690 in words is "one hundred forty-one million, one hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 569 1138 1181 1707 2362 2845 3414 3543 3983 5690 5905 7086 7966 8267 8535 11810 11949 16534 17070 17715 19915 23898 24801 35430 39830 41335 49602 59745 82670 119490 124005 248010 671989 1343978 2015967 3359945 4031934 4703923 6719890 9407846 10079835 14111769 20159670 23519615 28223538 47039230 70558845 141117690