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109969392 = 243132959103
BaseRepresentation
bin1101000110111…
…11111111110000
321122221000122110
412203133333300
5211123010032
614525005320
72503503321
oct643377760
9248830573
10109969392
11570906a5
12309b3840
1319a24460
1410868448
1599c37cc
hex68dfff0

109969392 has 160 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 31804416.

The previous prime is 109969313. The next prime is 109969393. The reversal of 109969392 is 293969901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109969393) 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, 1067613 + ... + 1067715.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2109969392 is an apocalyptic number.

109969392 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 109969392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

109969392 is an abundant number, since it is smaller than the sum of its proper divisors (215009808).

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

109969392 is a wasteful number, since it uses less digits than its factorization.

109969392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The square root of 109969392 is about 10486.6292010350. The cubic root of 109969392 is about 479.0975404385.

The spelling of 109969392 in words is "one hundred nine million, nine hundred sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 59 78 87 103 104 116 118 156 174 177 206 208 232 236 309 312 348 354 377 412 464 472 618 624 696 708 754 767 824 944 1131 1236 1339 1392 1416 1508 1534 1648 1711 2262 2301 2472 2678 2832 2987 3016 3068 3422 4017 4524 4602 4944 5133 5356 5974 6032 6077 6136 6844 8034 8961 9048 9204 10266 10712 11948 12154 12272 13688 16068 17922 18096 18231 18408 20532 21424 22243 23896 24308 27376 32136 35844 36462 36816 38831 41064 44486 47792 48616 64272 66729 71688 72924 77662 79001 82128 88972 97232 116493 133458 143376 145848 155324 158002 176233 177944 232986 237003 266916 291696 310648 316004 352466 355888 465972 474006 528699 533832 621296 632008 704932 931944 948012 1057398 1067664 1264016 1409864 1863888 1896024 2114796 2291029 2819728 3792048 4229592 4582058 6873087 8459184 9164116 13746174 18328232 27492348 36656464 54984696 109969392