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152270720 = 275741829
BaseRepresentation
bin10010001001101…
…11011110000000
3101121112011011022
421010313132000
5302440130340
623035405012
73526164650
oct1104673600
9347464138
10152270720
1178a53278
1242bb3768
1325715624
141631a360
15d57c3b5
hex9137780

152270720 has 128 divisors (see below), whose sum is σ = 426686400. Its totient is φ = 50872320.

The previous prime is 152270719. The next prime is 152270753. The reversal of 152270720 is 27072251.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152270720.

It is a congruent number.

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, 183266 + ... + 184094.

Almost surely, 2152270720 is an apocalyptic number.

152270720 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 152270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213343200).

152270720 is an abundant number, since it is smaller than the sum of its proper divisors (274415680).

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

152270720 is an equidigital number, since it uses as much as digits as its factorization.

152270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 152270720 is about 12339.8022674596. The cubic root of 152270720 is about 533.9969794141.

The spelling of 152270720 in words is "one hundred fifty-two million, two hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 280 287 320 328 410 448 560 574 640 656 820 829 896 1120 1148 1312 1435 1640 1658 2240 2296 2624 2870 3280 3316 4145 4480 4592 5248 5740 5803 6560 6632 8290 9184 11480 11606 13120 13264 16580 18368 22960 23212 26240 26528 29015 33160 33989 36736 45920 46424 53056 58030 66320 67978 91840 92848 106112 116060 132640 135956 169945 183680 185696 232120 237923 265280 271912 339890 371392 464240 475846 530560 543824 679780 742784 928480 951692 1087648 1189615 1359560 1856960 1903384 2175296 2379230 2719120 3713920 3806768 4350592 4758460 5438240 7613536 9516920 10876480 15227072 19033840 21752960 30454144 38067680 76135360 152270720