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141664640 = 2751317027
BaseRepresentation
bin10000111000110…
…10000110000000
3100212120022100112
420130122012000
5242231232030
622020210452
73340062305
oct1034320600
9325508315
10141664640
1172a69817
123b539a28
1323470c40
1414b590ac
15c684a95
hex871a180

141664640 has 64 divisors (see below), whose sum is σ = 364739760. Its totient is φ = 52303872.

The previous prime is 141664619. The next prime is 141664643. The reversal of 141664640 is 46466141.

141664640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 141664597 and 141664606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141664643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 16833.

Almost surely, 2141664640 is an apocalyptic number.

141664640 is a gapful number since it is divisible by the number (10) 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 141664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182369880).

141664640 is an abundant number, since it is smaller than the sum of its proper divisors (223075120).

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

141664640 is a wasteful number, since it uses less digits than its factorization.

141664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17059 (or 17047 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 141664640 is about 11902.2955769045. The cubic root of 141664640 is about 521.2993148235.

The spelling of 141664640 in words is "one hundred forty-one million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 17027 34054 68108 85135 136216 170270 221351 272432 340540 442702 544864 681080 885404 1089728 1106755 1362160 1770808 2179456 2213510 2724320 3541616 4427020 5448640 7083232 8854040 10897280 14166464 17708080 28332928 35416160 70832320 141664640