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1243968 = 263111931
BaseRepresentation
bin100101111101101000000
32100012101220
410233231000
5304301333
642355040
713400505
oct4575500
92305356
101243968
1177a680
124bba80
1334729b
142454ac
151988b3
hex12fb40

1243968 has 112 divisors (see below), whose sum is σ = 3901440. Its totient is φ = 345600.

The previous prime is 1243967. The next prime is 1243969. The reversal of 1243968 is 8693421.

It is an interprime number because it is at equal distance from previous prime (1243967) and next prime (1243969).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40113 + ... + 40143.

21243968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950720).

1243968 is an abundant number, since it is smaller than the sum of its proper divisors (2657472).

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

1243968 is a wasteful number, since it uses less digits than its factorization.

1243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 1243968 is about 1115.3331340904. Note that the first 3 decimals coincide. The cubic root of 1243968 is about 107.5481810343.

It can be divided in two parts, 1243 and 968, that added together give a triangular number (2211 = T66).

The spelling of 1243968 in words is "one million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 31 32 33 38 44 48 57 62 64 66 76 88 93 96 114 124 132 152 176 186 192 209 228 248 264 304 341 352 372 418 456 496 528 589 608 627 682 704 744 836 912 992 1023 1056 1178 1216 1254 1364 1488 1672 1767 1824 1984 2046 2112 2356 2508 2728 2976 3344 3534 3648 4092 4712 5016 5456 5952 6479 6688 7068 8184 9424 10032 10912 12958 13376 14136 16368 18848 19437 20064 21824 25916 28272 32736 37696 38874 40128 51832 56544 65472 77748 103664 113088 155496 207328 310992 414656 621984 1243968