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2190720 = 27357163
BaseRepresentation
bin1000010110110110000000
311010022002210
420112312000
51030100340
6114542120
724422640
oct10266600
94108083
102190720
111266a14
12897940
135b91ac
14410520
152d4180
hex216d80

2190720 has 128 divisors (see below), whose sum is σ = 8029440. Its totient is φ = 497664.

The previous prime is 2190691. The next prime is 2190737. The reversal of 2190720 is 270912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13359 + ... + 13521.

It is an arithmetic number, because the mean of its divisors is an integer number (62730).

22190720 is an apocalyptic number.

2190720 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 2190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014720).

2190720 is an abundant number, since it is smaller than the sum of its proper divisors (5838720).

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

2190720 is a wasteful number, since it uses less digits than its factorization.

2190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2190720 is about 1480.1081041600. The cubic root of 2190720 is about 129.8760159133.

The spelling of 2190720 in words is "two million, one hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 163 168 192 210 224 240 280 320 326 336 384 420 448 480 489 560 640 652 672 815 840 896 960 978 1120 1141 1304 1344 1630 1680 1920 1956 2240 2282 2445 2608 2688 3260 3360 3423 3912 4480 4564 4890 5216 5705 6520 6720 6846 7824 9128 9780 10432 11410 13040 13440 13692 15648 17115 18256 19560 20864 22820 26080 27384 31296 34230 36512 39120 45640 52160 54768 62592 68460 73024 78240 91280 104320 109536 136920 146048 156480 182560 219072 273840 312960 365120 438144 547680 730240 1095360 2190720