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136773120 = 2935111619
BaseRepresentation
bin10000010011011…
…11111000000000
3100112100210110010
420021233320000
5240003214440
621323304520
73250360311
oct1011577000
9315323403
10136773120
1170228740
123997b140
132244a653
1414244608
15c01a580
hex826fe00

136773120 has 160 divisors (see below), whose sum is σ = 477290880. Its totient is φ = 33136640.

The previous prime is 136773107. The next prime is 136773121. The reversal of 136773120 is 21377631.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136773121) 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, 83671 + ... + 85289.

It is an arithmetic number, because the mean of its divisors is an integer number (2983068).

Almost surely, 2136773120 is an apocalyptic number.

136773120 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 136773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238645440).

136773120 is an abundant number, since it is smaller than the sum of its proper divisors (340517760).

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

136773120 is a wasteful number, since it uses less digits than its factorization.

136773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 136773120 is about 11695.0040615641. The cubic root of 136773120 is about 515.2289427306.

The spelling of 136773120 in words is "one hundred thirty-six million, seven hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1619 1760 1920 2112 2560 2640 2816 3238 3520 3840 4224 4857 5280 5632 6476 7040 7680 8095 8448 9714 10560 12952 14080 16190 16896 17809 19428 21120 24285 25904 28160 32380 35618 38856 42240 48570 51808 53427 64760 71236 77712 84480 89045 97140 103616 106854 129520 142472 155424 178090 194280 207232 213708 259040 267135 284944 310848 356180 388560 414464 427416 518080 534270 569888 621696 712360 777120 828928 854832 1036160 1068540 1139776 1243392 1424720 1554240 1709664 2072320 2137080 2279552 2486784 2849440 3108480 3419328 4144640 4274160 4559104 5698880 6216960 6838656 8548320 9118208 11397760 12433920 13677312 17096640 22795520 27354624 34193280 45591040 68386560 136773120