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143968240 = 24513172479
BaseRepresentation
bin10001001010011…
…00011111110000
3101000220100022001
420211030133300
5243323440430
622141423344
73365465323
oct1045143760
9330810261
10143968240
11742a2519
124026ab54
1323a99610
14151987ba
15c98c3ca
hex894c7f0

143968240 has 120 divisors (see below), whose sum is σ = 383725440. Its totient is φ = 49926144.

The previous prime is 143968219. The next prime is 143968243. The reversal of 143968240 is 42869341.

It is a self number, because there is not a number n which added to its sum of digits gives 143968240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143968243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300321 + ... + 300799.

It is an arithmetic number, because the mean of its divisors is an integer number (3197712).

Almost surely, 2143968240 is an apocalyptic number.

143968240 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 143968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191862720).

143968240 is an abundant number, since it is smaller than the sum of its proper divisors (239757200).

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

143968240 is a wasteful number, since it uses less digits than its factorization.

143968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 143968240 is about 11998.6765936915. The cubic root of 143968240 is about 524.1097414035.

The spelling of 143968240 in words is "one hundred forty-three million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 289 340 442 479 520 578 680 884 958 1040 1105 1156 1360 1445 1768 1916 2210 2312 2395 2890 3536 3757 3832 4420 4624 4790 5780 6227 7514 7664 8143 8840 9580 11560 12454 15028 16286 17680 18785 19160 23120 24908 30056 31135 32572 37570 38320 40715 49816 60112 62270 65144 75140 81430 99632 105859 124540 130288 138431 150280 162860 211718 249080 276862 300560 325720 423436 498160 529295 553724 651440 692155 846872 1058590 1107448 1384310 1693744 1799603 2117180 2214896 2768620 3599206 4234360 5537240 7198412 8468720 8998015 11074480 14396824 17996030 28793648 35992060 71984120 143968240