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142483440 = 243511311741
BaseRepresentation
bin10000111111000…
…01111111110000
3100221002220112110
420133201333300
5242433432230
622045525320
73350042421
oct1037417760
9327086473
10142483440
1173478a10
123b873840
1323699838
1414ccd648
15c7974b0
hex87e1ff0

142483440 has 160 divisors (see below), whose sum is σ = 497682432. Its totient is φ = 33408000.

The previous prime is 142483423. The next prime is 142483469. The reversal of 142483440 is 44384241.

142483440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142483398 and 142483407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80970 + ... + 82710.

Almost surely, 2142483440 is an apocalyptic number.

142483440 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 142483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248841216).

142483440 is an abundant number, since it is smaller than the sum of its proper divisors (355198992).

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

142483440 is a wasteful number, since it uses less digits than its factorization.

142483440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 142483440 is about 11936.6427440885. The cubic root of 142483440 is about 522.3017295239.

The spelling of 142483440 in words is "one hundred forty-two million, four hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1741 1860 2046 2480 2640 2728 3410 3482 3720 4092 5115 5223 5456 6820 6964 7440 8184 8705 10230 10446 13640 13928 16368 17410 19151 20460 20892 26115 27280 27856 34820 38302 40920 41784 52230 53971 57453 69640 76604 81840 83568 95755 104460 107942 114906 139280 153208 161913 191510 208920 215884 229812 269855 287265 306416 323826 383020 417840 431768 459624 539710 574530 593681 647652 766040 809565 863536 919248 1079420 1149060 1187362 1295304 1532080 1619130 1781043 2158840 2298120 2374724 2590608 2968405 3238260 3562086 4317680 4596240 4749448 5936810 6476520 7124172 8905215 9498896 11873620 12953040 14248344 17810430 23747240 28496688 35620860 47494480 71241720 142483440