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742390180 = 22572839127
BaseRepresentation
bin101100001111111…
…111100110100100
31220201221022212121
4230033333212210
53010022441210
6201355555324
724253132600
oct5417774644
91821838777
10742390180
11351072804
1218875bb44
13baa61b3c
1470850500
15452976da
hex2c3ff9a4

742390180 has 72 divisors (see below), whose sum is σ = 1835604288. Its totient is φ = 251439552.

The previous prime is 742390151. The next prime is 742390247. The reversal of 742390180 is 81093247.

It is a super-2 number, since 2×7423901802 = 1102286358720864800, which contains 22 as substring.

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, 76777 + ... + 85903.

It is an arithmetic number, because the mean of its divisors is an integer number (25494504).

Almost surely, 2742390180 is an apocalyptic number.

742390180 is a gapful number since it is divisible by the number (70) 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 742390180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917802144).

742390180 is an abundant number, since it is smaller than the sum of its proper divisors (1093214108).

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

742390180 is a wasteful number, since it uses less digits than its factorization.

742390180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9224 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 742390180 is about 27246.8379816815. The cubic root of 742390180 is about 905.4769643753.

The spelling of 742390180 in words is "seven hundred forty-two million, three hundred ninety thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 415 490 581 830 980 1162 1660 2324 2905 4067 5810 8134 9127 11620 16268 18254 20335 36508 40670 45635 63889 81340 91270 127778 182540 255556 319445 447223 638890 757541 894446 1277780 1515082 1788892 2236115 3030164 3787705 4472230 5302787 7575410 8944460 10605574 15150820 21211148 26513935 37119509 53027870 74239018 106055740 148478036 185597545 371195090 742390180