Search a number
-
+
2107380 = 22351131103
BaseRepresentation
bin1000000010011111110100
310222001210010
420002133310
51014414010
6113100220
723624652
oct10023764
93861703
102107380
11120a340
12857670
1358a292
143cbdd2
152b9620
hex2027f4

2107380 has 96 divisors (see below), whose sum is σ = 6709248. Its totient is φ = 489600.

The previous prime is 2107361. The next prime is 2107381. The reversal of 2107380 is 837012.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107381) 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, 20409 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (69888).

22107380 is an apocalyptic number.

2107380 is a gapful number since it is divisible by the number (20) 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 2107380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354624).

2107380 is an abundant number, since it is smaller than the sum of its proper divisors (4601868).

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

2107380 is a wasteful number, since it uses less digits than its factorization.

2107380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2107380 is about 1451.6817833120. The cubic root of 2107380 is about 128.2077518164.

The spelling of 2107380 in words is "two million, one hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 103 110 124 132 155 165 186 206 220 309 310 330 341 372 412 465 515 618 620 660 682 930 1023 1030 1133 1236 1364 1545 1705 1860 2046 2060 2266 3090 3193 3399 3410 4092 4532 5115 5665 6180 6386 6798 6820 9579 10230 11330 12772 13596 15965 16995 19158 20460 22660 31930 33990 35123 38316 47895 63860 67980 70246 95790 105369 140492 175615 191580 210738 351230 421476 526845 702460 1053690 2107380