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1072720 = 245112353
BaseRepresentation
bin100000101111001010000
32000111111101
410011321100
5233311340
634554144
712055315
oct4057120
92014441
101072720
11672a50
12438954
132b735c
141dcd0c
15162c9a
hex105e50

1072720 has 80 divisors (see below), whose sum is σ = 2892672. Its totient is φ = 366080.

The previous prime is 1072711. The next prime is 1072733. The reversal of 1072720 is 272701.

1072720 = T81 + T82 + ... + T190.

It is a tau number, because it is divible by the number of its divisors (80).

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, 20214 + ... + 20266.

21072720 is an apocalyptic number.

1072720 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 1072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446336).

1072720 is an abundant number, since it is smaller than the sum of its proper divisors (1819952).

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

1072720 is a wasteful number, since it uses less digits than its factorization.

1072720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 1072720 is about 1035.7219704148. The cubic root of 1072720 is about 102.3675067803.

Subtracting from 1072720 its sum of digits (19), we obtain a palindrome (1072701).

The spelling of 1072720 in words is "one million, seventy-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 53 55 80 88 92 106 110 115 176 184 212 220 230 253 265 368 424 440 460 506 530 583 848 880 920 1012 1060 1166 1219 1265 1840 2024 2120 2332 2438 2530 2915 4048 4240 4664 4876 5060 5830 6095 9328 9752 10120 11660 12190 13409 19504 20240 23320 24380 26818 46640 48760 53636 67045 97520 107272 134090 214544 268180 536360 1072720