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1342920 = 233519231
BaseRepresentation
bin101000111110111001000
32112020010210
411013313020
5320433140
644441120
714262135
oct5076710
92466123
101342920
11837a57
125491a0
13380337
1426d58c
151b7d80
hex147dc8

1342920 has 96 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 328320.

The previous prime is 1342909. The next prime is 1342963. The reversal of 1342920 is 292431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43305 + ... + 43335.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

21342920 is an apocalyptic number.

1342920 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 1342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1342920 is an abundant number, since it is smaller than the sum of its proper divisors (3046200).

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

1342920 is a wasteful number, since it uses less digits than its factorization.

1342920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1342920 is about 1158.8442518302. The cubic root of 1342920 is about 110.3273992320.

The spelling of 1342920 in words is "one million, three hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 361 372 380 456 465 570 589 620 722 744 760 930 1083 1140 1178 1240 1444 1767 1805 1860 2166 2280 2356 2888 2945 3534 3610 3720 4332 4712 5415 5890 7068 7220 8664 8835 10830 11191 11780 14136 14440 17670 21660 22382 23560 33573 35340 43320 44764 55955 67146 70680 89528 111910 134292 167865 223820 268584 335730 447640 671460 1342920