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152026480 = 24531591039
BaseRepresentation
bin10010000111110…
…11110101110000
3101121001202010101
421003323311300
5302404321410
623030242144
73524126614
oct1103736560
9347052111
10152026480
11788a6821
1242ab6354
132565b3c8
1416295344
15d52ed3a
hex90fbd70

152026480 has 80 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 57795840.

The previous prime is 152026477. The next prime is 152026487. The reversal of 152026480 is 84620251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1520264802 = 46224101242380800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152026487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145801 + ... + 146839.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2152026480 is an apocalyptic number.

152026480 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 152026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

152026480 is an abundant number, since it is smaller than the sum of its proper divisors (219378320).

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

152026480 is a wasteful number, since it uses less digits than its factorization.

152026480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 152026480 is about 12329.9018649785. The cubic root of 152026480 is about 533.7113188553.

The spelling of 152026480 in words is "one hundred fifty-two million, twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 59 62 80 118 124 155 236 248 295 310 472 496 590 620 944 1039 1180 1240 1829 2078 2360 2480 3658 4156 4720 5195 7316 8312 9145 10390 14632 16624 18290 20780 29264 32209 36580 41560 61301 64418 73160 83120 122602 128836 146320 161045 245204 257672 306505 322090 490408 515344 613010 644180 980816 1226020 1288360 1900331 2452040 2576720 3800662 4904080 7601324 9501655 15202648 19003310 30405296 38006620 76013240 152026480