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141172000 = 2553291217
BaseRepresentation
bin10000110101000…
…01110100100000
3100211122021120121
420122201310200
5242120001000
622001450024
73332641114
oct1032416440
9324567517
10141172000
1172762682
123b340914
132332a938
1414a6b744
15c5d8b1a
hex86a1d20

141172000 has 96 divisors (see below), whose sum is σ = 359115120. Its totient is φ = 54476800.

The previous prime is 141171997. The next prime is 141172001. The reversal of 141172000 is 271141.

It can be written as a sum of positive squares in 8 ways, for example, as 1648656 + 139523344 = 1284^2 + 11812^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (141172001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115392 + ... + 116608.

Almost surely, 2141172000 is an apocalyptic number.

141172000 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 141172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557560).

141172000 is an abundant number, since it is smaller than the sum of its proper divisors (217943120).

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

141172000 is a wasteful number, since it uses less digits than its factorization.

141172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 141172000 is about 11881.5823861976. The cubic root of 141172000 is about 520.6943387321.

The spelling of 141172000 in words is "one hundred forty-one million, one hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1217 1450 2000 2320 2434 2900 3625 4000 4640 4868 5800 6085 7250 9736 11600 12170 14500 19472 23200 24340 29000 30425 35293 38944 48680 58000 60850 70586 97360 116000 121700 141172 152125 176465 194720 243400 282344 304250 352930 486800 564688 608500 705860 882325 973600 1129376 1217000 1411720 1764650 2434000 2823440 3529300 4411625 4868000 5646880 7058600 8823250 14117200 17646500 28234400 35293000 70586000 141172000