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1374148620 = 22325134114323
BaseRepresentation
bin101000111100111…
…1101100000001100
310112202200222112100
41101321331200030
510303240223440
6344204435100
746024033125
oct12171754014
93482628470
101374148620
11645742219
12324248a90
1318b8c9bc0
14d070304c
158098a230
hex51e7d80c

1374148620 has 144 divisors (see below), whose sum is σ = 4598691552. Its totient is φ = 329978880.

The previous prime is 1374148619. The next prime is 1374148651. The reversal of 1374148620 is 268414731.

1374148620 is a `hidden beast` number, since 13 + 7 + 4 + 14 + 8 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88779 + ... + 103101.

It is an arithmetic number, because the mean of its divisors is an integer number (31935358).

Almost surely, 21374148620 is an apocalyptic number.

1374148620 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 1374148620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299345776).

1374148620 is an abundant number, since it is smaller than the sum of its proper divisors (3224542932).

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

1374148620 is a wasteful number, since it uses less digits than its factorization.

1374148620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392 (or 14387 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1374148620 is about 37069.5106522867. The cubic root of 1374148620 is about 1111.7604885449.

The spelling of 1374148620 in words is "one billion, three hundred seventy-four million, one hundred forty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1599 1845 2132 2340 2460 2665 3198 3690 4797 5330 6396 7380 7995 9594 10660 14323 15990 19188 23985 28646 31980 42969 47970 57292 71615 85938 95940 128907 143230 171876 186199 214845 257814 286460 372398 429690 515628 558597 587243 644535 744796 859380 930995 1117194 1174486 1289070 1675791 1761729 1861990 2234388 2348972 2578140 2792985 2936215 3351582 3523458 3723980 5285187 5585970 5872430 6703164 7046916 7634159 8378955 8808645 10570374 11171940 11744860 15268318 16757910 17617290 21140748 22902477 26425935 30536636 33515820 35234580 38170795 45804954 52851870 68707431 76341590 91609908 105703740 114512385 137414862 152683180 229024770 274829724 343537155 458049540 687074310 1374148620