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154342020 = 22357894129
BaseRepresentation
bin10010011001100…
…01001010000100
3101202102101110010
421030301022010
5304002421040
623152030220
73552612510
oct1114611204
9352371403
10154342020
117a138498
1243832370
1325c8c351
14166d9140
15d83ae80
hex9331284

154342020 has 96 divisors (see below), whose sum is σ = 499564800. Its totient is φ = 34873344.

The previous prime is 154341991. The next prime is 154342021. The reversal of 154342020 is 20243451.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (154342021) 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, 35316 + ... + 39444.

It is an arithmetic number, because the mean of its divisors is an integer number (5203800).

Almost surely, 2154342020 is an apocalyptic number.

154342020 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 154342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249782400).

154342020 is an abundant number, since it is smaller than the sum of its proper divisors (345222780).

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

154342020 is a wasteful number, since it uses less digits than its factorization.

154342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 154342020 is about 12423.4463817413. The cubic root of 154342020 is about 536.4073581484.

Adding to 154342020 its reverse (20243451), we get a palindrome (174585471).

The spelling of 154342020 in words is "one hundred fifty-four million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1869 2492 2670 3115 3738 4129 5340 6230 7476 8258 9345 12387 12460 16516 18690 20645 24774 28903 37380 41290 49548 57806 61935 82580 86709 115612 123870 144515 173418 247740 289030 346836 367481 433545 578060 734962 867090 1102443 1469924 1734180 1837405 2204886 2572367 3674810 4409772 5144734 5512215 7349620 7717101 10289468 11024430 12861835 15434202 22048860 25723670 30868404 38585505 51447340 77171010 154342020