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1428480 = 21032531
BaseRepresentation
bin101011100110000000000
32200120111200
411130300000
5331202410
650341200
715066444
oct5346000
92616450
101428480
11896269
1258a800
133b0271
14292824
151d33c0
hex15cc00

1428480 has 132 divisors (see below), whose sum is σ = 5109312. Its totient is φ = 368640.

The previous prime is 1428473. The next prime is 1428491. The reversal of 1428480 is 848241.

It is a super-2 number, since 2×14284802 = 4081110220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46065 + ... + 46095.

21428480 is an apocalyptic number.

1428480 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 1428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554656).

1428480 is an abundant number, since it is smaller than the sum of its proper divisors (3680832).

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

1428480 is a wasteful number, since it uses less digits than its factorization.

1428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1428480 is about 1195.1903614069. The cubic root of 1428480 is about 112.6223853310.

The spelling of 1428480 in words is "one million, four hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 128 144 155 160 180 186 192 240 248 256 279 288 310 320 360 372 384 465 480 496 512 558 576 620 640 720 744 768 930 960 992 1024 1116 1152 1240 1280 1395 1440 1488 1536 1860 1920 1984 2232 2304 2480 2560 2790 2880 2976 3072 3720 3840 3968 4464 4608 4960 5120 5580 5760 5952 7440 7680 7936 8928 9216 9920 11160 11520 11904 14880 15360 15872 17856 19840 22320 23040 23808 29760 31744 35712 39680 44640 46080 47616 59520 71424 79360 89280 95232 119040 142848 158720 178560 238080 285696 357120 476160 714240 1428480