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10097940 = 2235316189
BaseRepresentation
bin100110100001…
…010100010100
3201000000202210
4212201110110
510041113230
61000233420
7151555026
oct46412424
921000683
1010097940
115777806
12346b870
132127318
1414ac016
15d46eb0
hex9a1514

10097940 has 96 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2534400.

The previous prime is 10097939. The next prime is 10097947. The reversal of 10097940 is 4979001.

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 = 10097898 and 10097907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113416 + ... + 113504.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 210097940 is an apocalyptic number.

10097940 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 10097940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

10097940 is an abundant number, since it is smaller than the sum of its proper divisors (19900140).

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

10097940 is a wasteful number, since it uses less digits than its factorization.

10097940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 10097940 is about 3177.7256017473. The cubic root of 10097940 is about 216.1445363210.

The spelling of 10097940 in words is "ten million, ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 89 93 122 124 155 178 183 186 244 267 305 310 356 366 372 445 465 534 610 620 732 890 915 930 1068 1220 1335 1780 1830 1860 1891 2670 2759 3660 3782 5340 5429 5518 5673 7564 8277 9455 10858 11036 11346 13795 16287 16554 18910 21716 22692 27145 27590 28365 32574 33108 37820 41385 54290 55180 56730 65148 81435 82770 108580 113460 162870 165540 168299 325740 336598 504897 673196 841495 1009794 1682990 2019588 2524485 3365980 5048970 10097940