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142457640 = 233513531723
BaseRepresentation
bin10000111110110…
…11101100101000
3100221001121010220
420133123230220
5242432121030
622045210040
73346604253
oct1037335450
9327047126
10142457640
1173460596
123b860920
132368ab80
1414cc409a
15c78ea10
hex87dbb28

142457640 has 128 divisors (see below), whose sum is σ = 469203840. Its totient is φ = 34384896.

The previous prime is 142457639. The next prime is 142457641. The reversal of 142457640 is 46754241.

It is an interprime number because it is at equal distance from previous prime (142457639) and next prime (142457641).

It is not an unprimeable number, because it can be changed into a prime (142457641) 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, 81819 + ... + 83541.

It is an arithmetic number, because the mean of its divisors is an integer number (3665655).

Almost surely, 2142457640 is an apocalyptic number.

142457640 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 142457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234601920).

142457640 is an abundant number, since it is smaller than the sum of its proper divisors (326746200).

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

142457640 is a wasteful number, since it uses less digits than its factorization.

142457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 142457640 is about 11935.5619892823. The cubic root of 142457640 is about 522.2702025899.

The spelling of 142457640 in words is "one hundred forty-two million, four hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1560 1590 1723 2067 2120 2756 3180 3445 3446 4134 5169 5512 6360 6890 6892 8268 8615 10335 10338 13780 13784 16536 17230 20670 20676 22399 25845 27560 34460 41340 41352 44798 51690 67197 68920 82680 89596 91319 103380 111995 134394 179192 182638 206760 223990 268788 273957 335985 365276 447980 456595 537576 547914 671970 730552 895960 913190 1095828 1187147 1343940 1369785 1826380 2191656 2374294 2687880 2739570 3561441 3652760 4748588 5479140 5935735 7122882 9497176 10958280 11871470 14245764 17807205 23742940 28491528 35614410 47485880 71228820 142457640