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109416252 = 223113743521
BaseRepresentation
bin1101000010110…
…00111100111100
321121212220212210
412201120330330
5211002310002
614505100420
72466010551
oct641307474
9247786783
10109416252
1156843060
1230787710
131988c75a
1410762a28
15991496c
hex6858f3c

109416252 has 96 divisors (see below), whose sum is σ = 293255424. Its totient is φ = 31449600.

The previous prime is 109416247. The next prime is 109416259. The reversal of 109416252 is 252614901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109416259) 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, 209752 + ... + 210272.

It is an arithmetic number, because the mean of its divisors is an integer number (3054744).

Almost surely, 2109416252 is an apocalyptic number.

109416252 is a gapful number since it is divisible by the number (12) 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 109416252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146627712).

109416252 is an abundant number, since it is smaller than the sum of its proper divisors (183839172).

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

109416252 is a wasteful number, since it uses less digits than its factorization.

109416252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 109416252 is about 10460.2223685732. Note that the first 3 decimals coincide. The cubic root of 109416252 is about 478.2929117452.

The spelling of 109416252 in words is "one hundred nine million, four hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 43 44 66 74 86 111 129 132 148 172 222 258 407 444 473 516 521 814 946 1042 1221 1419 1563 1591 1628 1892 2084 2442 2838 3126 3182 4773 4884 5676 5731 6252 6364 9546 11462 17193 17501 19092 19277 22403 22924 34386 35002 38554 44806 52503 57831 67209 68772 70004 77108 89612 105006 115662 134418 210012 212047 231324 246433 268836 424094 492866 636141 739299 828911 848188 985732 1272282 1478598 1657822 2486733 2544564 2957196 3315644 4973466 9118021 9946932 18236042 27354063 36472084 54708126 109416252