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30151400 = 2352413677
BaseRepresentation
bin111001100000…
…1001011101000
32002201211221112
41303001023220
530204321100
62554125452
7514165646
oct163011350
962654845
1030151400
1116024214
12a120888
136328b86
14400c196
1529a8b35
hex1cc12e8

30151400 has 48 divisors (see below), whose sum is σ = 71831340. Its totient is φ = 11763200.

The previous prime is 30151399. The next prime is 30151439. The reversal of 30151400 is 415103.

It can be written as a sum of positive squares in 6 ways, for example, as 7474756 + 22676644 = 2734^2 + 4762^2 .

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 11 ways as a sum of consecutive naturals, for example, 6362 + ... + 10038.

Almost surely, 230151400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35915670).

30151400 is an abundant number, since it is smaller than the sum of its proper divisors (41679940).

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

30151400 is a wasteful number, since it uses less digits than its factorization.

30151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 30151400 is about 5491.0290474555. The cubic root of 30151400 is about 311.2450793026.

Adding to 30151400 its reverse (415103), we get a palindrome (30566503).

The spelling of 30151400 in words is "thirty million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 3677 4100 7354 8200 14708 18385 29416 36770 73540 91925 147080 150757 183850 301514 367700 603028 735400 753785 1206056 1507570 3015140 3768925 6030280 7537850 15075700 30151400