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147340880 = 24529411549
BaseRepresentation
bin10001100100000…
…11111001010000
3101021020200200122
420302003321100
5300204402010
622342005412
73436243151
oct1062037120
9337220618
10147340880
1176196425
1241416868
13246aa76b
14157d5928
15ce06855
hex8c83e50

147340880 has 80 divisors (see below), whose sum is σ = 363258000. Its totient is φ = 55480320.

The previous prime is 147340841. The next prime is 147340883. The reversal of 147340880 is 88043741.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24840256 + 122500624 = 4984^2 + 11068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a house number.

It is a self number, because there is not a number n which added to its sum of digits gives 147340880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147340883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 94346 + ... + 95894.

It is an arithmetic number, because the mean of its divisors is an integer number (4540725).

Almost surely, 2147340880 is an apocalyptic number.

147340880 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 147340880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181629000).

147340880 is an abundant number, since it is smaller than the sum of its proper divisors (215917120).

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

147340880 is a wasteful number, since it uses less digits than its factorization.

147340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 147340880 is about 12138.4051670720. The cubic root of 147340880 is about 528.1708392690.

The spelling of 147340880 in words is "one hundred forty-seven million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 41 58 80 82 116 145 164 205 232 290 328 410 464 580 656 820 1160 1189 1549 1640 2320 2378 3098 3280 4756 5945 6196 7745 9512 11890 12392 15490 19024 23780 24784 30980 44921 47560 61960 63509 89842 95120 123920 127018 179684 224605 254036 317545 359368 449210 508072 635090 718736 898420 1016144 1270180 1796840 1841761 2540360 3593680 3683522 5080720 7367044 9208805 14734088 18417610 29468176 36835220 73670440 147340880