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146770740 = 223252931907
BaseRepresentation
bin10001011111110…
…00101100110100
3101020011201121100
420233320230310
5300033130430
622321450100
73431350014
oct1057705464
9336151540
10146770740
1175937036
12411a0930
132453b0bc
14156c7c44
15cd42960
hex8bf8b34

146770740 has 144 divisors (see below), whose sum is σ = 475937280. Its totient is φ = 36529920.

The previous prime is 146770717. The next prime is 146770753. The reversal of 146770740 is 47077641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146770695 and 146770704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161367 + ... + 162273.

It is an arithmetic number, because the mean of its divisors is an integer number (3305120).

Almost surely, 2146770740 is an apocalyptic number.

146770740 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 146770740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237968640).

146770740 is an abundant number, since it is smaller than the sum of its proper divisors (329166540).

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

146770740 is a wasteful number, since it uses less digits than its factorization.

146770740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 146770740 is about 12114.8974407545. The cubic root of 146770740 is about 527.4887009701.

The spelling of 146770740 in words is "one hundred forty-six million, seven hundred seventy thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 261 279 290 310 348 372 435 465 522 558 580 620 870 899 907 930 1044 1116 1305 1395 1740 1798 1814 1860 2610 2697 2721 2790 3596 3628 4495 4535 5220 5394 5442 5580 8091 8163 8990 9070 10788 10884 13485 13605 16182 16326 17980 18140 26303 26970 27210 28117 32364 32652 40455 40815 52606 53940 54420 56234 78909 80910 81630 84351 105212 112468 131515 140585 157818 161820 163260 168702 236727 253053 263030 281170 315636 337404 394545 421755 473454 506106 526060 562340 789090 815393 843510 946908 1012212 1183635 1265265 1578180 1630786 1687020 2367270 2446179 2530530 3261572 4076965 4734540 4892358 5061060 7338537 8153930 9784716 12230895 14677074 16307860 24461790 29354148 36692685 48923580 73385370 146770740