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1152480 = 253574
BaseRepresentation
bin100011001010111100000
32011112220110
410121113200
5243334410
640411320
712540000
oct4312740
92145813
101152480
1171796a
12476b40
13314754
14220000
1517b720
hex1195e0

1152480 has 120 divisors (see below), whose sum is σ = 4235112. Its totient is φ = 263424.

The previous prime is 1152421. The next prime is 1152493. The reversal of 1152480 is 842511.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164637 + ... + 164643.

21152480 is an apocalyptic number.

1152480 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 1152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117556).

1152480 is an abundant number, since it is smaller than the sum of its proper divisors (3082632).

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

1152480 is an frugal number, since it uses more digits than its factorization.

1152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1152480 is about 1073.5362127101. The cubic root of 1152480 is about 104.8442134211.

Adding to 1152480 its reverse (842511), we get a palindrome (1994991).

The spelling of 1152480 in words is "one million, one hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 343 392 420 480 490 560 588 672 686 735 784 840 980 1029 1120 1176 1372 1470 1568 1680 1715 1960 2058 2352 2401 2744 2940 3360 3430 3920 4116 4704 4802 5145 5488 5880 6860 7203 7840 8232 9604 10290 10976 11760 12005 13720 14406 16464 19208 20580 23520 24010 27440 28812 32928 36015 38416 41160 48020 54880 57624 72030 76832 82320 96040 115248 144060 164640 192080 230496 288120 384160 576240 1152480