Search a number
-
+
141349600 = 2552743587
BaseRepresentation
bin10000110110011…
…01001011100000
3100211222022012101
420123031023200
5242141141400
622005340144
73334310650
oct1033151340
9324868171
10141349600
1172874057
123b407654
1323390722
1414ab6360
15c62156a
hex86cd2e0

141349600 has 144 divisors (see below), whose sum is σ = 404224128. Its totient is φ = 47255040.

The previous prime is 141349589. The next prime is 141349631. The reversal of 141349600 is 6943141.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 240507 + ... + 241093.

It is an arithmetic number, because the mean of its divisors is an integer number (2807112).

Almost surely, 2141349600 is an apocalyptic number.

141349600 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 141349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202112064).

141349600 is an abundant number, since it is smaller than the sum of its proper divisors (262874528).

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

141349600 is a wasteful number, since it uses less digits than its factorization.

141349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 141349600 is about 11889.0537890952. The cubic root of 141349600 is about 520.9125986383.

The spelling of 141349600 in words is "one hundred forty-one million, three hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 50 56 70 80 86 100 112 140 160 172 175 200 215 224 280 301 344 350 400 430 560 587 602 688 700 800 860 1075 1120 1174 1204 1376 1400 1505 1720 2150 2348 2408 2800 2935 3010 3440 4109 4300 4696 4816 5600 5870 6020 6880 7525 8218 8600 9392 9632 11740 12040 14675 15050 16436 17200 18784 20545 23480 24080 25241 29350 30100 32872 34400 41090 46960 48160 50482 58700 60200 65744 82180 93920 100964 102725 117400 120400 126205 131488 164360 176687 201928 205450 234800 240800 252410 328720 353374 403856 410900 469600 504820 631025 657440 706748 807712 821800 883435 1009640 1262050 1413496 1643600 1766870 2019280 2524100 2826992 3287200 3533740 4038560 4417175 5048200 5653984 7067480 8834350 10096400 14134960 17668700 20192800 28269920 35337400 70674800 141349600