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2172480 = 26353173
BaseRepresentation
bin1000010010011001000000
311002101002020
420102121000
51024004410
6114321440
724315522
oct10223100
94071066
102172480
111254242
12889280
135b0abb
14407a12
152cda70
hex212640

2172480 has 112 divisors (see below), whose sum is σ = 7217664. Its totient is φ = 552960.

The previous prime is 2172473. The next prime is 2172491. The reversal of 2172480 is 842712.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2172480.

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, 29724 + ... + 29796.

22172480 is an apocalyptic number.

2172480 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 2172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608832).

2172480 is an abundant number, since it is smaller than the sum of its proper divisors (5045184).

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

2172480 is a wasteful number, since it uses less digits than its factorization.

2172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2172480 is about 1473.9335127474. The cubic root of 2172480 is about 129.5145603600.

The spelling of 2172480 in words is "two million, one hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 73 80 93 96 120 124 146 155 160 186 192 219 240 248 292 310 320 365 372 438 465 480 496 584 620 730 744 876 930 960 992 1095 1168 1240 1460 1488 1752 1860 1984 2190 2263 2336 2480 2920 2976 3504 3720 4380 4526 4672 4960 5840 5952 6789 7008 7440 8760 9052 9920 11315 11680 13578 14016 14880 17520 18104 22630 23360 27156 29760 33945 35040 36208 45260 54312 67890 70080 72416 90520 108624 135780 144832 181040 217248 271560 362080 434496 543120 724160 1086240 2172480