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109898400 = 25352291579
BaseRepresentation
bin1101000110011…
…10101010100000
321122210102021010
412203032222200
5211113222100
614523300520
72503056333
oct643165240
9248712233
10109898400
1157042327
123097a740
13199cb051
141084a61a
1599ac750
hex68ceaa0

109898400 has 144 divisors (see below), whose sum is σ = 370288800. Its totient is φ = 28277760.

The previous prime is 109898339. The next prime is 109898419. The reversal of 109898400 is 4898901.

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, 68811 + ... + 70389.

It is an arithmetic number, because the mean of its divisors is an integer number (2571450).

Almost surely, 2109898400 is an apocalyptic number.

109898400 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 109898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185144400).

109898400 is an abundant number, since it is smaller than the sum of its proper divisors (260390400).

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

109898400 is a wasteful number, since it uses less digits than its factorization.

109898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 109898400 is about 10483.2437728024. The cubic root of 109898400 is about 478.9944226116.

The spelling of 109898400 in words is "one hundred nine million, eight hundred ninety-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 725 800 870 928 1160 1200 1392 1450 1579 1740 2175 2320 2400 2784 2900 3158 3480 4350 4640 4737 5800 6316 6960 7895 8700 9474 11600 12632 13920 15790 17400 18948 23200 23685 25264 31580 34800 37896 39475 45791 47370 50528 63160 69600 75792 78950 91582 94740 118425 126320 137373 151584 157900 183164 189480 228955 236850 252640 274746 315800 366328 378960 457910 473700 549492 631600 686865 732656 757920 915820 947400 1098984 1144775 1263200 1373730 1465312 1831640 1894800 2197968 2289550 2747460 3434325 3663280 3789600 4395936 4579100 5494920 6868650 7326560 9158200 10989840 13737300 18316400 21979680 27474600 36632800 54949200 109898400