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1107320 = 235193147
BaseRepresentation
bin100001110010101111000
32002020221212
410032111320
5240413240
635422252
712261224
oct4162570
92066855
101107320
11696a45
12454988
132ca026
1420b784
1516d165
hex10e578

1107320 has 64 divisors (see below), whose sum is σ = 2764800. Its totient is φ = 397440.

The previous prime is 1107319. The next prime is 1107341. The reversal of 1107320 is 237011.

It is a junction number, because it is equal to n+sod(n) for n = 1107295 and 1107304.

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, 23537 + ... + 23583.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

21107320 is an apocalyptic number.

1107320 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 1107320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382400).

1107320 is an abundant number, since it is smaller than the sum of its proper divisors (1657480).

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

1107320 is a wasteful number, since it uses less digits than its factorization.

1107320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1107320 is about 1052.2927349364. The cubic root of 1107320 is about 103.4564839975.

The spelling of 1107320 in words is "one million, one hundred seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 47 62 76 94 95 124 152 155 188 190 235 248 310 376 380 470 589 620 760 893 940 1178 1240 1457 1786 1880 2356 2914 2945 3572 4465 4712 5828 5890 7144 7285 8930 11656 11780 14570 17860 23560 27683 29140 35720 55366 58280 110732 138415 221464 276830 553660 1107320