Search a number
-
+
1154217420 = 22325311311579
BaseRepresentation
bin100010011001011…
…1111010111001100
32222102212022122100
41010302333113030
54330434424140
6310310515100
740413454236
oct10462772714
92872768570
101154217420
115425866a4
12282665a90
131551848b5
14ad413256
156b4e5530
hex44cbf5cc

1154217420 has 144 divisors (see below), whose sum is σ = 3643960320. Its totient is φ = 295401600.

The previous prime is 1154217419. The next prime is 1154217433. The reversal of 1154217420 is 247124511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730191 + ... + 731769.

It is an arithmetic number, because the mean of its divisors is an integer number (25305280).

Almost surely, 21154217420 is an apocalyptic number.

1154217420 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 1154217420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821980160).

1154217420 is an abundant number, since it is smaller than the sum of its proper divisors (2489742900).

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

1154217420 is a wasteful number, since it uses less digits than its factorization.

1154217420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1154217420 is about 33973.7754746216. The cubic root of 1154217420 is about 1048.9687289520.

The spelling of 1154217420 in words is "one billion, one hundred fifty-four million, two hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 131 155 180 186 262 279 310 372 393 465 524 558 620 655 786 930 1116 1179 1310 1395 1572 1579 1860 1965 2358 2620 2790 3158 3930 4061 4716 4737 5580 5895 6316 7860 7895 8122 9474 11790 12183 14211 15790 16244 18948 20305 23580 23685 24366 28422 31580 36549 40610 47370 48732 48949 56844 60915 71055 73098 81220 94740 97898 121830 142110 146196 146847 182745 195796 206849 243660 244745 284220 293694 365490 413698 440541 489490 587388 620547 730980 734235 827396 881082 978980 1034245 1241094 1468470 1762164 1861641 2068490 2202705 2482188 2936940 3102735 3723282 4136980 4405410 6205470 6412319 7446564 8810820 9308205 12410940 12824638 18616410 19236957 25649276 32061595 37232820 38473914 57710871 64123190 76947828 96184785 115421742 128246380 192369570 230843484 288554355 384739140 577108710 1154217420