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245465400 = 233523711057
BaseRepresentation
bin11101010000110…
…00000100111000
3122002212221020010
432220120010320
51000314343100
640205101520
76040264365
oct1650300470
9562787203
10245465400
11116616874
126a2578a0
133bb156cb
142485946c
151683a750
hexea18138

245465400 has 96 divisors (see below), whose sum is σ = 781579440. Its totient is φ = 63682560.

The previous prime is 245465399. The next prime is 245465411. The reversal of 245465400 is 4564542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16672 + ... + 27728.

Almost surely, 2245465400 is an apocalyptic number.

245465400 is a gapful number since it is divisible by the number (20) 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 245465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390789720).

245465400 is an abundant number, since it is smaller than the sum of its proper divisors (536114040).

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

245465400 is a wasteful number, since it uses less digits than its factorization.

245465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 245465400 is about 15667.3354467184. The cubic root of 245465400 is about 626.1284360518.

The spelling of 245465400 in words is "two hundred forty-five million, four hundred sixty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11057 11100 22114 22200 33171 44228 55285 66342 88456 110570 132684 165855 221140 265368 276425 331710 409109 442280 552850 663420 818218 829275 1105700 1227327 1326840 1636436 1658550 2045545 2211400 2454654 3272872 3317100 4091090 4909308 6136635 6634200 8182180 9818616 10227725 12273270 16364360 20455450 24546540 30683175 40910900 49093080 61366350 81821800 122732700 245465400