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1026720 = 253252331
BaseRepresentation
bin11111010101010100000
31221011101200
43322222200
5230323340
634001200
711504232
oct3725240
91834350
101026720
11641432
12416200
1329c436
141ca252
15154330
hexfaaa0

1026720 has 144 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 253440.

The previous prime is 1026709. The next prime is 1026733. The reversal of 1026720 is 276201.

It is a happy number.

1026720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×10267204 (a number of 25 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1026693 and 1026702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33105 + ... + 33135.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

21026720 is an apocalyptic number.

1026720 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 1026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976).

1026720 is an abundant number, since it is smaller than the sum of its proper divisors (2747232).

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

1026720 is a wasteful number, since it uses less digits than its factorization.

1026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1026720 is about 1013.2719279641. The cubic root of 1026720 is about 100.8828494972.

It can be divided in two parts, 1026 and 720, that multiplied together give a triangular number (738720 = T1215).

The spelling of 1026720 in words is "one million, twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 31 32 36 40 45 46 48 60 62 69 72 80 90 92 93 96 115 120 124 138 144 155 160 180 184 186 207 230 240 248 276 279 288 310 345 360 368 372 414 460 465 480 496 552 558 620 690 713 720 736 744 828 920 930 992 1035 1104 1116 1240 1380 1395 1426 1440 1488 1656 1840 1860 2070 2139 2208 2232 2480 2760 2790 2852 2976 3312 3565 3680 3720 4140 4278 4464 4960 5520 5580 5704 6417 6624 7130 7440 8280 8556 8928 10695 11040 11160 11408 12834 14260 14880 16560 17112 21390 22320 22816 25668 28520 32085 33120 34224 42780 44640 51336 57040 64170 68448 85560 102672 114080 128340 171120 205344 256680 342240 513360 1026720