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147551340 = 223519347373
BaseRepresentation
bin10001100101101…
…11010001101100
3101021122101101110
420302313101230
5300233120330
622350312020
73441110556
oct1062672154
9337571343
10147551340
117631a562
12414b8610
13247524b1
141584c4d6
15ce48db0
hex8cb746c

147551340 has 96 divisors (see below), whose sum is σ = 437310720. Its totient is φ = 37069056.

The previous prime is 147551317. The next prime is 147551357. The reversal of 147551340 is 43155741.

147551340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 147551298 and 147551307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395394 + ... + 395766.

It is an arithmetic number, because the mean of its divisors is an integer number (4555320).

Almost surely, 2147551340 is an apocalyptic number.

147551340 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 147551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218655360).

147551340 is an abundant number, since it is smaller than the sum of its proper divisors (289759380).

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

147551340 is a wasteful number, since it uses less digits than its factorization.

147551340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 147551340 is about 12147.0712519521. The cubic root of 147551340 is about 528.4221973234.

The spelling of 147551340 in words is "one hundred forty-seven million, five hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 347 373 380 570 694 746 1041 1119 1140 1388 1492 1735 1865 2082 2238 3470 3730 4164 4476 5205 5595 6593 6940 7087 7460 10410 11190 13186 14174 19779 20820 21261 22380 26372 28348 32965 35435 39558 42522 65930 70870 79116 85044 98895 106305 129431 131860 141740 197790 212610 258862 388293 395580 425220 517724 647155 776586 1294310 1553172 1941465 2459189 2588620 3882930 4918378 7377567 7765860 9836756 12295945 14755134 24591890 29510268 36887835 49183780 73775670 147551340