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147970240 = 26511127331
BaseRepresentation
bin10001101000111…
…01100011000000
3101022102200000021
420310131203000
5300340021430
622403303224
73444504055
oct1064354300
9338380007
10147970240
1176586260
124167ab14
132486b072
141591b02c
15cecd07a
hex8d1d8c0

147970240 has 112 divisors (see below), whose sum is σ = 388583424. Its totient is φ = 53222400.

The previous prime is 147970217. The next prime is 147970253. The reversal of 147970240 is 42079741.

It is a junction number, because it is equal to n+sod(n) for n = 147970196 and 147970205.

It is an unprimeable number.

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, 446875 + ... + 447205.

Almost surely, 2147970240 is an apocalyptic number.

147970240 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 147970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194291712).

147970240 is an abundant number, since it is smaller than the sum of its proper divisors (240613184).

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

147970240 is a wasteful number, since it uses less digits than its factorization.

147970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 147970240 is about 12164.3018706377. The cubic root of 147970240 is about 528.9217904610.

The spelling of 147970240 in words is "one hundred forty-seven million, nine hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 127 160 176 220 254 320 331 352 440 508 635 662 704 880 1016 1270 1324 1397 1655 1760 2032 2540 2648 2794 3310 3520 3641 4064 5080 5296 5588 6620 6985 7282 8128 10160 10592 11176 13240 13970 14564 18205 20320 21184 22352 26480 27940 29128 36410 40640 42037 44704 52960 55880 58256 72820 84074 89408 105920 111760 116512 145640 168148 210185 223520 233024 291280 336296 420370 447040 462407 582560 672592 840740 924814 1165120 1345184 1681480 1849628 2312035 2690368 3362960 3699256 4624070 6725920 7398512 9248140 13451840 14797024 18496280 29594048 36992560 73985120 147970240