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142649568 = 253219131199
BaseRepresentation
bin10001000000010…
…10100011100000
3100221102100102100
420200022203200
5243004241233
622053250400
73351333645
oct1040124340
9327370370
10142649568
1173581806
123b933a00
1323727339
1414d33dcc
15c7cb813
hex880a8e0

142649568 has 144 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 44478720.

The previous prime is 142649543. The next prime is 142649609. The reversal of 142649568 is 865946241.

142649568 is a `hidden beast` number, since 1 + 42 + 6 + 49 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716733 + ... + 716931.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2142649568 is an apocalyptic number.

142649568 is a gapful number since it is divisible by the number (18) 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 142649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

142649568 is an abundant number, since it is smaller than the sum of its proper divisors (289782432).

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

142649568 is a wasteful number, since it uses less digits than its factorization.

142649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 142649568 is about 11943.5994574500. The cubic root of 142649568 is about 522.5046425570.

It can be divided in two parts, 14264 and 9568, that added together give a palindrome (23832).

The spelling of 142649568 in words is "one hundred forty-two million, six hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 131 144 152 171 199 228 262 288 304 342 393 398 456 524 597 608 684 786 796 912 1048 1179 1194 1368 1572 1592 1791 1824 2096 2358 2388 2489 2736 3144 3184 3582 3781 4192 4716 4776 4978 5472 6288 6368 7164 7467 7562 9432 9552 9956 11343 12576 14328 14934 15124 18864 19104 19912 22401 22686 26069 28656 29868 30248 34029 37728 39824 44802 45372 52138 57312 59736 60496 68058 78207 79648 89604 90744 104276 119472 120992 136116 156414 179208 181488 208552 234621 238944 272232 312828 358416 362976 417104 469242 495311 544464 625656 716832 834208 938484 990622 1088928 1251312 1485933 1876968 1981244 2502624 2971866 3753936 3962488 4457799 5943732 7507872 7924976 8915598 11887464 15849952 17831196 23774928 35662392 47549856 71324784 142649568