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10099740 = 22357139173
BaseRepresentation
bin100110100001…
…110000011100
3201000010020110
4212201300130
510041142430
61000250020
7151563210
oct46416034
921003213
1010099740
1157790a2
123470910
1321280a1
1414ac940
15d477b0
hex9a1c1c

10099740 has 96 divisors (see below), whose sum is σ = 32739840. Its totient is φ = 2278656.

The previous prime is 10099729. The next prime is 10099741. The reversal of 10099740 is 4799001.

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 = 10099698 and 10099707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099741) 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, 58294 + ... + 58466.

It is an arithmetic number, because the mean of its divisors is an integer number (341040).

Almost surely, 210099740 is an apocalyptic number.

10099740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10099740 is the 2595-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10099740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369920).

10099740 is an abundant number, since it is smaller than the sum of its proper divisors (22640100).

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

10099740 is a wasteful number, since it uses less digits than its factorization.

10099740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

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

The square root of 10099740 is about 3178.0088105605. The cubic root of 10099740 is about 216.1573784469.

The spelling of 10099740 in words is "ten million, ninety-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 173 210 278 346 417 420 519 556 692 695 834 865 973 1038 1211 1390 1668 1730 1946 2076 2085 2422 2595 2780 2919 3460 3633 3892 4170 4844 4865 5190 5838 6055 7266 8340 9730 10380 11676 12110 14532 14595 18165 19460 24047 24220 29190 36330 48094 58380 72141 72660 96188 120235 144282 168329 240470 288564 336658 360705 480940 504987 673316 721410 841645 1009974 1442820 1683290 2019948 2524935 3366580 5049870 10099740