Search a number
-
+
145988016 = 24347163397
BaseRepresentation
bin10001011001110…
…01100110110000
3101011200221220120
420230321212300
5244333104031
622253010240
73421610016
oct1054714660
9334627816
10145988016
1175451a59
1240a83980
1324325a55
14155628b6
15cc3aa96
hex8b399b0

145988016 has 80 divisors (see below), whose sum is σ = 388498944. Its totient is φ = 47215872.

The previous prime is 145988009. The next prime is 145988033. The reversal of 145988016 is 610889541.

145988016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367530 + ... + 367926.

Almost surely, 2145988016 is an apocalyptic number.

145988016 is a gapful number since it is divisible by the number (16) 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 145988016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194249472).

145988016 is an abundant number, since it is smaller than the sum of its proper divisors (242510928).

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

145988016 is a wasteful number, since it uses less digits than its factorization.

145988016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 145988016 is about 12082.5500619695. The cubic root of 145988016 is about 526.5493352542.

The spelling of 145988016 in words is "one hundred forty-five million, nine hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 163 188 282 326 376 397 489 564 652 752 794 978 1128 1191 1304 1588 1956 2256 2382 2608 3176 3912 4764 6352 7661 7824 9528 15322 18659 19056 22983 30644 37318 45966 55977 61288 64711 74636 91932 111954 122576 129422 149272 183864 194133 223908 258844 298544 367728 388266 447816 517688 776532 895632 1035376 1553064 3041417 3106128 6082834 9124251 12165668 18248502 24331336 36497004 48662672 72994008 145988016