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5375100 = 22352192341
BaseRepresentation
bin10100100000010001111100
3101010002020210
4110200101330
52334000400
6311112420
763454563
oct24402174
911102223
105375100
113041435
121972710
131162743
149dcbda
15712950
hex52047c

5375100 has 144 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1267200.

The previous prime is 5375099. The next prime is 5375107. The reversal of 5375100 is 15735.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5375107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131080 + ... + 131120.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 25375100 is an apocalyptic number.

5375100 is a gapful number since it is divisible by the number (50) 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 5375100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5375100 is an abundant number, since it is smaller than the sum of its proper divisors (12123780).

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

5375100 is a wasteful number, since it uses less digits than its factorization.

5375100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 5375100 is about 2318.4261903283. The cubic root of 5375100 is about 175.1709893376.

The spelling of 5375100 in words is "five million, three hundred seventy-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 25 30 38 41 46 50 57 60 69 75 76 82 92 95 100 114 115 123 138 150 164 190 205 228 230 246 276 285 300 345 380 410 437 460 475 492 570 575 615 690 779 820 874 943 950 1025 1140 1150 1230 1311 1380 1425 1558 1725 1748 1886 1900 2050 2185 2300 2337 2460 2622 2829 2850 3075 3116 3450 3772 3895 4100 4370 4674 4715 5244 5658 5700 6150 6555 6900 7790 8740 9348 9430 10925 11316 11685 12300 13110 14145 15580 17917 18860 19475 21850 23370 23575 26220 28290 32775 35834 38950 43700 46740 47150 53751 56580 58425 65550 70725 71668 77900 89585 94300 107502 116850 131100 141450 179170 215004 233700 268755 282900 358340 447925 537510 895850 1075020 1343775 1791700 2687550 5375100