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1207140 = 2235113159
BaseRepresentation
bin100100110101101100100
32021022212220
410212231210
5302112030
641512340
713155234
oct4465544
92238786
101207140
11754a40
124a26b0
133335ac
14235cc4
1518ca10
hex126b64

1207140 has 96 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 278400.

The previous prime is 1207133. The next prime is 1207147. The reversal of 1207140 is 417021.

It is an interprime number because it is at equal distance from previous prime (1207133) and next prime (1207147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1207147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20431 + ... + 20489.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

21207140 is an apocalyptic number.

1207140 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 1207140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1207140 is an abundant number, since it is smaller than the sum of its proper divisors (2663580).

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

1207140 is a wasteful number, since it uses less digits than its factorization.

1207140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1207140 is about 1098.6992309090. The cubic root of 1207140 is about 106.4762009022.

It can be divided in two parts, 120 and 7140, that added together give a triangular number (7260 = T120).

The spelling of 1207140 in words is "one million, two hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 59 60 62 66 93 110 118 124 132 155 165 177 186 220 236 295 310 330 341 354 372 465 590 620 649 660 682 708 885 930 1023 1180 1298 1364 1705 1770 1829 1860 1947 2046 2596 3245 3410 3540 3658 3894 4092 5115 5487 6490 6820 7316 7788 9145 9735 10230 10974 12980 18290 19470 20119 20460 21948 27435 36580 38940 40238 54870 60357 80476 100595 109740 120714 201190 241428 301785 402380 603570 1207140