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100797240 = 23351396043
BaseRepresentation
bin1100000001000…
…00101100111000
321000200000211010
412000200230320
5201301002430
614000233520
72332522335
oct600405470
9230600733
10100797240
1151996505
122990b8a0
1317b6264b
14d55b98c
158cb0cb0
hex6020b38

100797240 has 64 divisors (see below), whose sum is σ = 304617600. Its totient is φ = 26681472.

The previous prime is 100797197. The next prime is 100797251. The reversal of 100797240 is 42797001.

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 = 100797198 and 100797207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13659 + ... + 19701.

It is an arithmetic number, because the mean of its divisors is an integer number (4759650).

Almost surely, 2100797240 is an apocalyptic number.

100797240 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 100797240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152308800).

100797240 is an abundant number, since it is smaller than the sum of its proper divisors (203820360).

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

100797240 is a wasteful number, since it uses less digits than its factorization.

100797240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 100797240 is about 10039.7828661779. The cubic root of 100797240 is about 465.3891066136.

The spelling of 100797240 in words is "one hundred million, seven hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 6043 8340 12086 16680 18129 24172 30215 36258 48344 60430 72516 90645 120860 145032 181290 241720 362580 725160 839977 1679954 2519931 3359908 4199885 5039862 6719816 8399770 10079724 12599655 16799540 20159448 25199310 33599080 50398620 100797240