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141716640 = 25351321747
BaseRepresentation
bin10000111001001…
…10110010100000
3100212122221200110
420130212302200
5242234413030
622021251320
73340400022
oct1034466240
9325587613
10141716640
1172aa489a
123b563b40
132348b800
1414b70012
15c6951b0
hex8726ca0

141716640 has 144 divisors (see below), whose sum is σ = 483664608. Its totient is φ = 34864128.

The previous prime is 141716621. The next prime is 141716669. The reversal of 141716640 is 46617141.

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

It is a junction number, because it is equal to n+sod(n) for n = 141716598 and 141716607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80247 + ... + 81993.

It is an arithmetic number, because the mean of its divisors is an integer number (3358782).

Almost surely, 2141716640 is an apocalyptic number.

141716640 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 141716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241832304).

141716640 is an abundant number, since it is smaller than the sum of its proper divisors (341947968).

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

141716640 is a wasteful number, since it uses less digits than its factorization.

141716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 141716640 is about 11904.4798290392. The cubic root of 141716640 is about 521.3630904378.

The spelling of 141716640 in words is "one hundred forty-one million, seven hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 1747 2028 2080 2535 2704 3120 3380 3494 4056 5070 5241 5408 6240 6760 6988 8112 8735 10140 10482 13520 13976 16224 17470 20280 20964 22711 26205 27040 27952 34940 40560 41928 45422 52410 55904 68133 69880 81120 83856 90844 104820 113555 136266 139760 167712 181688 209640 227110 272532 279520 295243 340665 363376 419280 454220 545064 590486 681330 726752 838560 885729 908440 1090128 1180972 1362660 1476215 1771458 1816880 2180256 2361944 2725320 2952430 3542916 3633760 4428645 4723888 5450640 5904860 7085832 8857290 9447776 10901280 11809720 14171664 17714580 23619440 28343328 35429160 47238880 70858320 141716640