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109657440 = 25325271281
BaseRepresentation
bin1101000100100…
…11110101100000
321122100011201200
412202103311200
5211033014230
614514201200
72501033664
oct642236540
9248304650
10109657440
1156998292
1230883200
1319945479
14107c68a4
159961160
hex6893d60

109657440 has 144 divisors (see below), whose sum is σ = 376923456. Its totient is φ = 29030400.

The previous prime is 109657423. The next prime is 109657481. The reversal of 109657440 is 44756901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109657395 and 109657404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390100 + ... + 390380.

It is an arithmetic number, because the mean of its divisors is an integer number (2617524).

Almost surely, 2109657440 is an apocalyptic number.

109657440 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 109657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188461728).

109657440 is an abundant number, since it is smaller than the sum of its proper divisors (267266016).

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

109657440 is a wasteful number, since it uses less digits than its factorization.

109657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 109657440 is about 10471.7448402833. The cubic root of 109657440 is about 478.6440900821.

The spelling of 109657440 in words is "one hundred nine million, six hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 271 281 288 360 480 542 562 720 813 843 1084 1124 1355 1405 1440 1626 1686 2168 2248 2439 2529 2710 2810 3252 3372 4065 4215 4336 4496 4878 5058 5420 5620 6504 6744 8130 8430 8672 8992 9756 10116 10840 11240 12195 12645 13008 13488 16260 16860 19512 20232 21680 22480 24390 25290 26016 26976 32520 33720 39024 40464 43360 44960 48780 50580 65040 67440 76151 78048 80928 97560 101160 130080 134880 152302 195120 202320 228453 304604 380755 390240 404640 456906 609208 685359 761510 913812 1142265 1218416 1370718 1523020 1827624 2284530 2436832 2741436 3046040 3426795 3655248 4569060 5482872 6092080 6853590 7310496 9138120 10965744 12184160 13707180 18276240 21931488 27414360 36552480 54828720 109657440