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146746040 = 23571730829
BaseRepresentation
bin10001011111100…
…10101010111000
3101020010110201112
420233302222320
5300031333130
622321135452
73431215010
oct1057625270
9336113645
10146746040
117591a521
124118a588
132452ca9c
14156bcc40
15cd3a495
hex8bf2ab8

146746040 has 64 divisors (see below), whose sum is σ = 399556800. Its totient is φ = 47351808.

The previous prime is 146746037. The next prime is 146746081. The reversal of 146746040 is 40647641.

It is a junction number, because it is equal to n+sod(n) for n = 146745988 and 146746006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10655 + ... + 20174.

It is an arithmetic number, because the mean of its divisors is an integer number (6243075).

Almost surely, 2146746040 is an apocalyptic number.

146746040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146746040 is an abundant number, since it is smaller than the sum of its proper divisors (252810760).

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

146746040 is a wasteful number, since it uses less digits than its factorization.

146746040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30864 (or 30860 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 146746040 is about 12113.8779917911. The cubic root of 146746040 is about 527.4591090095.

The spelling of 146746040 in words is "one hundred forty-six million, seven hundred forty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 30829 61658 123316 154145 215803 246632 308290 431606 524093 616580 863212 1048186 1079015 1233160 1726424 2096372 2158030 2620465 3668651 4192744 4316060 5240930 7337302 8632120 10481860 14674604 18343255 20963720 29349208 36686510 73373020 146746040