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106573040 = 2457231877
BaseRepresentation
bin1100101101000…
…10110011110000
321102112110201122
412112202303300
5204240314130
614324121412
72432566400
oct626426360
9242473648
10106573040
11551809a2
122b836268
1319105592
1410222800
1595522e5
hex65a2cf0

106573040 has 120 divisors (see below), whose sum is σ = 297873792. Its totient is φ = 35320320.

The previous prime is 106573031. The next prime is 106573067. The reversal of 106573040 is 40375601.

It is a super-2 number, since 2×1065730402 = 22715625709683200, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 121082 + ... + 121958.

Almost surely, 2106573040 is an apocalyptic number.

106573040 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 106573040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936896).

106573040 is an abundant number, since it is smaller than the sum of its proper divisors (191300752).

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

106573040 is a wasteful number, since it uses less digits than its factorization.

106573040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 106573040 is about 10323.4219132999. The cubic root of 106573040 is about 474.1136416206.

The spelling of 106573040 in words is "one hundred six million, five hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 877 980 1085 1240 1519 1736 1754 1960 2170 2480 3038 3472 3508 3920 4340 4385 6076 6139 7016 7595 8680 8770 12152 12278 14032 15190 17360 17540 24304 24556 27187 30380 30695 35080 42973 49112 54374 60760 61390 70160 85946 98224 108748 121520 122780 135935 171892 190309 214865 217496 245560 271870 343784 380618 429730 434992 491120 543740 687568 761236 859460 951545 1087480 1332163 1522472 1718920 1903090 2174960 2664326 3044944 3437840 3806180 5328652 6660815 7612360 10657304 13321630 15224720 21314608 26643260 53286520 106573040