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1389920 = 25571773
BaseRepresentation
bin101010011010101100000
32121121121112
411103111200
5323434140
645442452
714546150
oct5232540
92547545
101389920
1186a2a4
12570428
1339884c
14282760
151c6c65
hex153560

1389920 has 96 divisors (see below), whose sum is σ = 4027968. Its totient is φ = 442368.

The previous prime is 1389919. The next prime is 1389943. The reversal of 1389920 is 299831.

It is a hoax number, since the sum of its digits (32) 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 (32).

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, 19004 + ... + 19076.

It is an arithmetic number, because the mean of its divisors is an integer number (41958).

21389920 is an apocalyptic number.

1389920 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 1389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013984).

1389920 is an abundant number, since it is smaller than the sum of its proper divisors (2638048).

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

1389920 is a wasteful number, since it uses less digits than its factorization.

1389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 1389920 is about 1178.9486842098. The cubic root of 1389920 is about 111.5997619073.

The spelling of 1389920 in words is "one million, three hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 73 80 85 112 119 136 140 146 160 170 224 238 272 280 292 340 365 476 511 544 560 584 595 680 730 952 1022 1120 1168 1190 1241 1360 1460 1904 2044 2336 2380 2482 2555 2720 2920 3808 4088 4760 4964 5110 5840 6205 8176 8687 9520 9928 10220 11680 12410 16352 17374 19040 19856 20440 24820 34748 39712 40880 43435 49640 69496 81760 86870 99280 138992 173740 198560 277984 347480 694960 1389920