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2145780 = 22325713131
BaseRepresentation
bin1000001011110111110100
311001000110100
420023313310
51022131110
6113554100
724144630
oct10136764
94030410
102145780
11123617a
12875930
135a18c0
143dbdc0
152c5bc0
hex20bdf4

2145780 has 144 divisors (see below), whose sum is σ = 8072064. Its totient is φ = 449280.

The previous prime is 2145779. The next prime is 2145821. The reversal of 2145780 is 875412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16315 + ... + 16445.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

22145780 is an apocalyptic number.

2145780 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 2145780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032).

2145780 is an abundant number, since it is smaller than the sum of its proper divisors (5926284).

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

2145780 is a wasteful number, since it uses less digits than its factorization.

2145780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2145780 is about 1464.8481149935. The cubic root of 2145780 is about 128.9817893890.

The spelling of 2145780 in words is "two million, one hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 131 140 156 180 182 195 210 234 252 260 262 273 315 364 390 393 420 455 468 524 546 585 630 655 780 786 819 910 917 1092 1170 1179 1260 1310 1365 1572 1638 1703 1820 1834 1965 2340 2358 2620 2730 2751 3276 3406 3668 3930 4095 4585 4716 5109 5460 5502 5895 6812 7860 8190 8253 8515 9170 10218 11004 11790 11921 13755 15327 16380 16506 17030 18340 20436 23580 23842 25545 27510 30654 33012 34060 35763 41265 47684 51090 55020 59605 61308 71526 76635 82530 102180 107289 119210 143052 153270 165060 178815 214578 238420 306540 357630 429156 536445 715260 1072890 2145780