Search a number
-
+
1220949120 = 27351933469
BaseRepresentation
bin100100011000110…
…0011010010000000
310011002102122022210
41020301203102000
510000030332440
6321053102120
742153616266
oct11061432200
93132378283
101220949120
11577215166
122a0a87940
13165c4a901
14b8224436
15722c7a80
hex48c63480

1220949120 has 128 divisors (see below), whose sum is σ = 4096728000. Its totient is φ = 308441088.

The previous prime is 1220949113. The next prime is 1220949133. The reversal of 1220949120 is 219490221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 19746 + ... + 53214.

Almost surely, 21220949120 is an apocalyptic number.

1220949120 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 1220949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048364000).

1220949120 is an abundant number, since it is smaller than the sum of its proper divisors (2875778880).

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

1220949120 is a wasteful number, since it uses less digits than its factorization.

1220949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33510 (or 33498 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1220949120 is about 34942.0823649650. The cubic root of 1220949120 is about 1068.8067520221.

The spelling of 1220949120 in words is "one billion, two hundred twenty million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 33469 36480 66938 100407 133876 167345 200814 267752 334690 401628 502035 535504 635911 669380 803256 1004070 1071008 1271822 1338760 1606512 1907733 2008140 2142016 2543644 2677520 3179555 3213024 3815466 4016280 4284032 5087288 5355040 6359110 6426048 7630932 8032560 9538665 10174576 10710080 12718220 12852096 15261864 16065120 19077330 20349152 21420160 25436440 30523728 32130240 38154660 40698304 50872880 61047456 64260480 76309320 81396608 101745760 122094912 152618640 203491520 244189824 305237280 406983040 610474560 1220949120