Search a number
-
+
147237120 = 2832512781
BaseRepresentation
bin10001100011010…
…10100100000000
3101021001102100200
420301222210000
5300143041440
622335445200
73435331512
oct1061524400
9337042320
10147237120
1176125478
1241386800
1324672474
14157a9bb2
15cdd5c30
hex8c6a900

147237120 has 108 divisors (see below), whose sum is σ = 509464956. Its totient is φ = 39260160.

The previous prime is 147237113. The next prime is 147237133. The reversal of 147237120 is 21732741.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 65804544 = 9024^2 + 8112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5130 + ... + 17910.

Almost surely, 2147237120 is an apocalyptic number.

147237120 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 147237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254732478).

147237120 is an abundant number, since it is smaller than the sum of its proper divisors (362227836).

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

147237120 is a wasteful number, since it uses less digits than its factorization.

147237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 147237120 is about 12134.1303767514. The cubic root of 147237120 is about 528.0468278027.

Adding to 147237120 its reverse (21732741), we get a palindrome (168969861).

The spelling of 147237120 in words is "one hundred forty-seven million, two hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 12781 25562 38343 51124 63905 76686 102248 115029 127810 153372 191715 204496 230058 255620 306744 383430 408992 460116 511240 575145 613488 766860 817984 920232 1022480 1150290 1226976 1533720 1635968 1840464 2044960 2300580 2453952 3067440 3271936 3680928 4089920 4601160 4907904 6134880 7361856 8179840 9202320 9815808 12269760 14723712 16359680 18404640 24539520 29447424 36809280 49079040 73618560 147237120