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143982072 = 233213199773
BaseRepresentation
bin10001001010011…
…11110111111000
3101000221001021100
420211033313320
5243324411242
622142011400
73365553543
oct1045176770
9330831240
10143982072
1174301953
1240276b60
1323aa29c0
141519d85a
15c99154c
hex894fdf8

143982072 has 96 divisors (see below), whose sum is σ = 422604000. Its totient is φ = 44022528.

The previous prime is 143982067. The next prime is 143982101. The reversal of 143982072 is 270289341.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 185878 + ... + 186650.

It is an arithmetic number, because the mean of its divisors is an integer number (4402125).

Almost surely, 2143982072 is an apocalyptic number.

143982072 is a gapful number since it is divisible by the number (12) 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 143982072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211302000).

143982072 is an abundant number, since it is smaller than the sum of its proper divisors (278621928).

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

143982072 is a wasteful number, since it uses less digits than its factorization.

143982072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 143982072 is about 11999.2529767482. The cubic root of 143982072 is about 524.1265257854.

The spelling of 143982072 in words is "one hundred forty-three million, nine hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 199 234 312 398 468 597 773 796 936 1194 1546 1592 1791 2319 2388 2587 3092 3582 4638 4776 5174 6184 6957 7164 7761 9276 10049 10348 13914 14328 15522 18552 20098 20696 23283 27828 30147 31044 40196 46566 55656 60294 62088 80392 90441 93132 120588 153827 180882 186264 241176 307654 361764 461481 615308 723528 922962 1230616 1384443 1845924 1999751 2768886 3691848 3999502 5537772 5999253 7999004 11075544 11998506 15998008 17997759 23997012 35995518 47994024 71991036 143982072