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101474160 = 24352331593
BaseRepresentation
bin1100000110001…
…01111101110000
321001221102101020
412003011331300
5201434133120
614022535440
72341342014
oct603057560
9231842336
10101474160
1152309047
1229b97580
131803b7a8
14d696544
158d96640
hex60c5f70

101474160 has 160 divisors (see below), whose sum is σ = 339406848. Its totient is φ = 25006080.

The previous prime is 101474147. The next prime is 101474167. The reversal of 101474160 is 61474101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101474160.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 593 × 465 × 368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101474167) by changing a digit.

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, 170824 + ... + 171416.

Almost surely, 2101474160 is an apocalyptic number.

101474160 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 101474160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424).

101474160 is an abundant number, since it is smaller than the sum of its proper divisors (237932688).

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

101474160 is a wasteful number, since it uses less digits than its factorization.

101474160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 101474160 is about 10073.4383405072. The cubic root of 101474160 is about 466.4285815016.

The spelling of 101474160 in words is "one hundred one million, four hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 593 620 690 713 744 920 930 1104 1186 1240 1380 1426 1488 1779 1840 1860 2139 2372 2480 2760 2852 2965 3558 3565 3720 4278 4744 5520 5704 5930 7116 7130 7440 8556 8895 9488 10695 11408 11860 13639 14232 14260 17112 17790 18383 21390 23720 27278 28464 28520 34224 35580 36766 40917 42780 47440 54556 55149 57040 68195 71160 73532 81834 85560 91915 109112 110298 136390 142320 147064 163668 171120 183830 204585 218224 220596 272780 275745 294128 327336 367660 409170 422809 441192 545560 551490 654672 735320 818340 845618 882384 1091120 1102980 1268427 1470640 1636680 1691236 2114045 2205960 2536854 3273360 3382472 4228090 4411920 5073708 6342135 6764944 8456180 10147416 12684270 16912360 20294832 25368540 33824720 50737080 101474160